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Finding the Third Proportional to 592,461 and 861,799.50

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Solution

The third proportional to 592,461 and 861,799.50 is: 1,253,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,461 : 861,799.50 = 861,799.50 : x
  2. Step 2: Convert to fraction form
    592,461/861,799.50 = 861,799.50/x
  3. Step 3: Cross multiply
    592,461x = 861,799.50 × 861,799.50
  4. Step 4: Simplify right side
    592,461x = 742,698,378,200.25
  5. Step 5: Solve for x
    x = 742,698,378,200.25/592,461
  6. Step 6: Final answer
    x = 1,253,581.89

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.