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Finding the Third Proportional to 453,820.50 and 967,252.50

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Solution

The third proportional to 453,820.50 and 967,252.50 is: 2,061,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,820.50 : 967,252.50 = 967,252.50 : x
  2. Step 2: Convert to fraction form
    453,820.50/967,252.50 = 967,252.50/x
  3. Step 3: Cross multiply
    453,820.50x = 967,252.50 × 967,252.50
  4. Step 4: Simplify right side
    453,820.50x = 935,577,398,756.25
  5. Step 5: Solve for x
    x = 935,577,398,756.25/453,820.50
  6. Step 6: Final answer
    x = 2,061,558.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.