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Finding the Third Proportional to 508,272 and 747,624

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Solution

The third proportional to 508,272 and 747,624 is: 1,099,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,272 : 747,624 = 747,624 : x
  2. Step 2: Convert to fraction form
    508,272/747,624 = 747,624/x
  3. Step 3: Cross multiply
    508,272x = 747,624 × 747,624
  4. Step 4: Simplify right side
    508,272x = 558,941,645,376
  5. Step 5: Solve for x
    x = 558,941,645,376/508,272
  6. Step 6: Final answer
    x = 1,099,690.02

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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.