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Finding the Third Proportional to 484,375 and 747,002

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Solution

The third proportional to 484,375 and 747,002 is: 1,152,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,375 : 747,002 = 747,002 : x
  2. Step 2: Convert to fraction form
    484,375/747,002 = 747,002/x
  3. Step 3: Cross multiply
    484,375x = 747,002 × 747,002
  4. Step 4: Simplify right side
    484,375x = 558,011,988,004
  5. Step 5: Solve for x
    x = 558,011,988,004/484,375
  6. Step 6: Final answer
    x = 1,152,024.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.