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Finding the Third Proportional to 472,104 and 748,701

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Solution

The third proportional to 472,104 and 748,701 is: 1,187,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,104 : 748,701 = 748,701 : x
  2. Step 2: Convert to fraction form
    472,104/748,701 = 748,701/x
  3. Step 3: Cross multiply
    472,104x = 748,701 × 748,701
  4. Step 4: Simplify right side
    472,104x = 560,553,187,401
  5. Step 5: Solve for x
    x = 560,553,187,401/472,104
  6. Step 6: Final answer
    x = 1,187,351.07

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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.