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Finding the Third Proportional to 466,656 and 723,936

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Solution

The third proportional to 466,656 and 723,936 is: 1,123,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,656 : 723,936 = 723,936 : x
  2. Step 2: Convert to fraction form
    466,656/723,936 = 723,936/x
  3. Step 3: Cross multiply
    466,656x = 723,936 × 723,936
  4. Step 4: Simplify right side
    466,656x = 524,083,332,096
  5. Step 5: Solve for x
    x = 524,083,332,096/466,656
  6. Step 6: Final answer
    x = 1,123,061.38

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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.