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Finding the Third Proportional to 709,147.50 and 1,061,215.13

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Solution

The third proportional to 709,147.50 and 1,061,215.13 is: 1,588,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,147.50 : 1,061,215.13 = 1,061,215.13 : x
  2. Step 2: Convert to fraction form
    709,147.50/1,061,215.13 = 1,061,215.13/x
  3. Step 3: Cross multiply
    709,147.50x = 1,061,215.13 × 1,061,215.13
  4. Step 4: Simplify right side
    709,147.50x = 1,126,177,541,528.77
  5. Step 5: Solve for x
    x = 1,126,177,541,528.77/709,147.50
  6. Step 6: Final answer
    x = 1,588,072.36

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Why These Related Problems?

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