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Finding the Third Proportional to 465,750 and 701,337

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Solution

The third proportional to 465,750 and 701,337 is: 1,056,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,750 : 701,337 = 701,337 : x
  2. Step 2: Convert to fraction form
    465,750/701,337 = 701,337/x
  3. Step 3: Cross multiply
    465,750x = 701,337 × 701,337
  4. Step 4: Simplify right side
    465,750x = 491,873,587,569
  5. Step 5: Solve for x
    x = 491,873,587,569/465,750
  6. Step 6: Final answer
    x = 1,056,089.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.