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Finding the Third Proportional to 729,982.13 and 976,459.50

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Solution

The third proportional to 729,982.13 and 976,459.50 is: 1,306,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,982.13 : 976,459.50 = 976,459.50 : x
  2. Step 2: Convert to fraction form
    729,982.13/976,459.50 = 976,459.50/x
  3. Step 3: Cross multiply
    729,982.13x = 976,459.50 × 976,459.50
  4. Step 4: Simplify right side
    729,982.13x = 953,473,155,140.25
  5. Step 5: Solve for x
    x = 953,473,155,140.25/729,982.13
  6. Step 6: Final answer
    x = 1,306,159.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.