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Finding the Third Proportional to 474,228 and 723,160

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Solution

The third proportional to 474,228 and 723,160 is: 1,102,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,228 : 723,160 = 723,160 : x
  2. Step 2: Convert to fraction form
    474,228/723,160 = 723,160/x
  3. Step 3: Cross multiply
    474,228x = 723,160 × 723,160
  4. Step 4: Simplify right side
    474,228x = 522,960,385,600
  5. Step 5: Solve for x
    x = 522,960,385,600/474,228
  6. Step 6: Final answer
    x = 1,102,761.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.