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Finding the Third Proportional to 453,473,158.50 and 680,091,639.75

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Solution

The third proportional to 453,473,158.50 and 680,091,639.75 is: 1,019,960,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,473,158.50 : 680,091,639.75 = 680,091,639.75 : x
  2. Step 2: Convert to fraction form
    453,473,158.50/680,091,639.75 = 680,091,639.75/x
  3. Step 3: Cross multiply
    453,473,158.50x = 680,091,639.75 × 680,091,639.75
  4. Step 4: Simplify right side
    453,473,158.50x = 462,524,638,457,843,776
  5. Step 5: Solve for x
    x = 462,524,638,457,843,776/453,473,158.50
  6. Step 6: Final answer
    x = 1,019,960,343.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.