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Finding the Third Proportional to 462,609 and 725,861.25

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Solution

The third proportional to 462,609 and 725,861.25 is: 1,138,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,609 : 725,861.25 = 725,861.25 : x
  2. Step 2: Convert to fraction form
    462,609/725,861.25 = 725,861.25/x
  3. Step 3: Cross multiply
    462,609x = 725,861.25 × 725,861.25
  4. Step 4: Simplify right side
    462,609x = 526,874,554,251.56
  5. Step 5: Solve for x
    x = 526,874,554,251.56/462,609
  6. Step 6: Final answer
    x = 1,138,919.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.