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Finding the Third Proportional to 418,098 and 617,304

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Solution

The third proportional to 418,098 and 617,304 is: 911,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,098 : 617,304 = 617,304 : x
  2. Step 2: Convert to fraction form
    418,098/617,304 = 617,304/x
  3. Step 3: Cross multiply
    418,098x = 617,304 × 617,304
  4. Step 4: Simplify right side
    418,098x = 381,064,228,416
  5. Step 5: Solve for x
    x = 381,064,228,416/418,098
  6. Step 6: Final answer
    x = 911,423.23

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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.