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Finding the Third Proportional to 466,739 and 720,839

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Solution

The third proportional to 466,739 and 720,839 is: 1,113,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,739 : 720,839 = 720,839 : x
  2. Step 2: Convert to fraction form
    466,739/720,839 = 720,839/x
  3. Step 3: Cross multiply
    466,739x = 720,839 × 720,839
  4. Step 4: Simplify right side
    466,739x = 519,608,863,921
  5. Step 5: Solve for x
    x = 519,608,863,921/466,739
  6. Step 6: Final answer
    x = 1,113,275.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.