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Finding the Third Proportional to 709,239.38 and 1,061,353.13

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Solution

The third proportional to 709,239.38 and 1,061,353.13 is: 1,588,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,239.38 : 1,061,353.13 = 1,061,353.13 : x
  2. Step 2: Convert to fraction form
    709,239.38/1,061,353.13 = 1,061,353.13/x
  3. Step 3: Cross multiply
    709,239.38x = 1,061,353.13 × 1,061,353.13
  4. Step 4: Simplify right side
    709,239.38x = 1,126,470,455,947.27
  5. Step 5: Solve for x
    x = 1,126,470,455,947.27/709,239.38
  6. Step 6: Final answer
    x = 1,588,279.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.