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Finding the Third Proportional to 472,115 and 748,718

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Solution

The third proportional to 472,115 and 748,718 is: 1,187,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,115 : 748,718 = 748,718 : x
  2. Step 2: Convert to fraction form
    472,115/748,718 = 748,718/x
  3. Step 3: Cross multiply
    472,115x = 748,718 × 748,718
  4. Step 4: Simplify right side
    472,115x = 560,578,643,524
  5. Step 5: Solve for x
    x = 560,578,643,524/472,115
  6. Step 6: Final answer
    x = 1,187,377.32

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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.