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Finding the Third Proportional to 447,890 and 658,767

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Solution

The third proportional to 447,890 and 658,767 is: 968,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,890 : 658,767 = 658,767 : x
  2. Step 2: Convert to fraction form
    447,890/658,767 = 658,767/x
  3. Step 3: Cross multiply
    447,890x = 658,767 × 658,767
  4. Step 4: Simplify right side
    447,890x = 433,973,960,289
  5. Step 5: Solve for x
    x = 433,973,960,289/447,890
  6. Step 6: Final answer
    x = 968,929.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.