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Finding the Third Proportional to 462,353 and 725,478

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Solution

The third proportional to 462,353 and 725,478 is: 1,138,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,353 : 725,478 = 725,478 : x
  2. Step 2: Convert to fraction form
    462,353/725,478 = 725,478/x
  3. Step 3: Cross multiply
    462,353x = 725,478 × 725,478
  4. Step 4: Simplify right side
    462,353x = 526,318,328,484
  5. Step 5: Solve for x
    x = 526,318,328,484/462,353
  6. Step 6: Final answer
    x = 1,138,347.38

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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.