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Finding the Third Proportional to 481,350 and 748,347

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Solution

The third proportional to 481,350 and 748,347 is: 1,163,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,350 : 748,347 = 748,347 : x
  2. Step 2: Convert to fraction form
    481,350/748,347 = 748,347/x
  3. Step 3: Cross multiply
    481,350x = 748,347 × 748,347
  4. Step 4: Simplify right side
    481,350x = 560,023,232,409
  5. Step 5: Solve for x
    x = 560,023,232,409/481,350
  6. Step 6: Final answer
    x = 1,163,442.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.