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Finding the Third Proportional to 453,964 and 702,478.50

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Solution

The third proportional to 453,964 and 702,478.50 is: 1,087,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,964 : 702,478.50 = 702,478.50 : x
  2. Step 2: Convert to fraction form
    453,964/702,478.50 = 702,478.50/x
  3. Step 3: Cross multiply
    453,964x = 702,478.50 × 702,478.50
  4. Step 4: Simplify right side
    453,964x = 493,476,042,962.25
  5. Step 5: Solve for x
    x = 493,476,042,962.25/453,964
  6. Step 6: Final answer
    x = 1,087,037.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.