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Finding the Third Proportional to 472,086 and 748,674

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Solution

The third proportional to 472,086 and 748,674 is: 1,187,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,086 : 748,674 = 748,674 : x
  2. Step 2: Convert to fraction form
    472,086/748,674 = 748,674/x
  3. Step 3: Cross multiply
    472,086x = 748,674 × 748,674
  4. Step 4: Simplify right side
    472,086x = 560,512,758,276
  5. Step 5: Solve for x
    x = 560,512,758,276/472,086
  6. Step 6: Final answer
    x = 1,187,310.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.