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Finding the Third Proportional to 488,614 and 747,452

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Solution

The third proportional to 488,614 and 747,452 is: 1,143,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,614 : 747,452 = 747,452 : x
  2. Step 2: Convert to fraction form
    488,614/747,452 = 747,452/x
  3. Step 3: Cross multiply
    488,614x = 747,452 × 747,452
  4. Step 4: Simplify right side
    488,614x = 558,684,492,304
  5. Step 5: Solve for x
    x = 558,684,492,304/488,614
  6. Step 6: Final answer
    x = 1,143,406.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.