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Finding the Third Proportional to 462,618.84 and 725,878.97

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Solution

The third proportional to 462,618.84 and 725,878.97 is: 1,138,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,618.84 : 725,878.97 = 725,878.97 : x
  2. Step 2: Convert to fraction form
    462,618.84/725,878.97 = 725,878.97/x
  3. Step 3: Cross multiply
    462,618.84x = 725,878.97 × 725,878.97
  4. Step 4: Simplify right side
    462,618.84x = 526,900,277,273.56
  5. Step 5: Solve for x
    x = 526,900,277,273.56/462,618.84
  6. Step 6: Final answer
    x = 1,138,951.18

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Why These Related Problems?

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