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Finding the Third Proportional to 484,374 and 747,000

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Solution

The third proportional to 484,374 and 747,000 is: 1,152,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,374 : 747,000 = 747,000 : x
  2. Step 2: Convert to fraction form
    484,374/747,000 = 747,000/x
  3. Step 3: Cross multiply
    484,374x = 747,000 × 747,000
  4. Step 4: Simplify right side
    484,374x = 558,009,000,000
  5. Step 5: Solve for x
    x = 558,009,000,000/484,374
  6. Step 6: Final answer
    x = 1,152,020.96

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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.