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Finding the Third Proportional to 425,755 and 709,564.50

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Solution

The third proportional to 425,755 and 709,564.50 is: 1,182,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,755 : 709,564.50 = 709,564.50 : x
  2. Step 2: Convert to fraction form
    425,755/709,564.50 = 709,564.50/x
  3. Step 3: Cross multiply
    425,755x = 709,564.50 × 709,564.50
  4. Step 4: Simplify right side
    425,755x = 503,481,779,660.25
  5. Step 5: Solve for x
    x = 503,481,779,660.25/425,755
  6. Step 6: Final answer
    x = 1,182,562.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.