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Finding the Third Proportional to 417,502 and 930,624

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Solution

The third proportional to 417,502 and 930,624 is: 2,074,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,502 : 930,624 = 930,624 : x
  2. Step 2: Convert to fraction form
    417,502/930,624 = 930,624/x
  3. Step 3: Cross multiply
    417,502x = 930,624 × 930,624
  4. Step 4: Simplify right side
    417,502x = 866,061,029,376
  5. Step 5: Solve for x
    x = 866,061,029,376/417,502
  6. Step 6: Final answer
    x = 2,074,387.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.