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Finding the Third Proportional to 462,351 and 725,475

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Solution

The third proportional to 462,351 and 725,475 is: 1,138,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,351 : 725,475 = 725,475 : x
  2. Step 2: Convert to fraction form
    462,351/725,475 = 725,475/x
  3. Step 3: Cross multiply
    462,351x = 725,475 × 725,475
  4. Step 4: Simplify right side
    462,351x = 526,313,975,625
  5. Step 5: Solve for x
    x = 526,313,975,625/462,351
  6. Step 6: Final answer
    x = 1,138,342.89

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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.