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Finding the Third Proportional to 466,734 and 720,828

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Solution

The third proportional to 466,734 and 720,828 is: 1,113,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,734 : 720,828 = 720,828 : x
  2. Step 2: Convert to fraction form
    466,734/720,828 = 720,828/x
  3. Step 3: Cross multiply
    466,734x = 720,828 × 720,828
  4. Step 4: Simplify right side
    466,734x = 519,593,005,584
  5. Step 5: Solve for x
    x = 519,593,005,584/466,734
  6. Step 6: Final answer
    x = 1,113,252.96

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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.