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Finding the Third Proportional to 466,578 and 723,843

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Solution

The third proportional to 466,578 and 723,843 is: 1,122,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,578 : 723,843 = 723,843 : x
  2. Step 2: Convert to fraction form
    466,578/723,843 = 723,843/x
  3. Step 3: Cross multiply
    466,578x = 723,843 × 723,843
  4. Step 4: Simplify right side
    466,578x = 523,948,688,649
  5. Step 5: Solve for x
    x = 523,948,688,649/466,578
  6. Step 6: Final answer
    x = 1,122,960.55

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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.