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Finding the Third Proportional to 532,581 and 749,107.50

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Solution

The third proportional to 532,581 and 749,107.50 is: 1,053,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,581 : 749,107.50 = 749,107.50 : x
  2. Step 2: Convert to fraction form
    532,581/749,107.50 = 749,107.50/x
  3. Step 3: Cross multiply
    532,581x = 749,107.50 × 749,107.50
  4. Step 4: Simplify right side
    532,581x = 561,162,046,556.25
  5. Step 5: Solve for x
    x = 561,162,046,556.25/532,581
  6. Step 6: Final answer
    x = 1,053,665.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.