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Finding the Third Proportional to 418,089 and 617,292

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Solution

The third proportional to 418,089 and 617,292 is: 911,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,089 : 617,292 = 617,292 : x
  2. Step 2: Convert to fraction form
    418,089/617,292 = 617,292/x
  3. Step 3: Cross multiply
    418,089x = 617,292 × 617,292
  4. Step 4: Simplify right side
    418,089x = 381,049,413,264
  5. Step 5: Solve for x
    x = 381,049,413,264/418,089
  6. Step 6: Final answer
    x = 911,407.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.