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Finding the Third Proportional to 466,680 and 723,972

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Solution

The third proportional to 466,680 and 723,972 is: 1,123,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,680 : 723,972 = 723,972 : x
  2. Step 2: Convert to fraction form
    466,680/723,972 = 723,972/x
  3. Step 3: Cross multiply
    466,680x = 723,972 × 723,972
  4. Step 4: Simplify right side
    466,680x = 524,135,456,784
  5. Step 5: Solve for x
    x = 524,135,456,784/466,680
  6. Step 6: Final answer
    x = 1,123,115.32

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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.