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Finding the Third Proportional to 466,260 and 720,048

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Solution

The third proportional to 466,260 and 720,048 is: 1,111,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,260 : 720,048 = 720,048 : x
  2. Step 2: Convert to fraction form
    466,260/720,048 = 720,048/x
  3. Step 3: Cross multiply
    466,260x = 720,048 × 720,048
  4. Step 4: Simplify right side
    466,260x = 518,469,122,304
  5. Step 5: Solve for x
    x = 518,469,122,304/466,260
  6. Step 6: Final answer
    x = 1,111,974.27

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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.