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Finding the Third Proportional to 466,746 and 720,849

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Solution

The third proportional to 466,746 and 720,849 is: 1,113,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,746 : 720,849 = 720,849 : x
  2. Step 2: Convert to fraction form
    466,746/720,849 = 720,849/x
  3. Step 3: Cross multiply
    466,746x = 720,849 × 720,849
  4. Step 4: Simplify right side
    466,746x = 519,623,280,801
  5. Step 5: Solve for x
    x = 519,623,280,801/466,746
  6. Step 6: Final answer
    x = 1,113,289.20

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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.