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Finding the Third Proportional to 434,320 and 664,398

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Solution

The third proportional to 434,320 and 664,398 is: 1,016,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,320 : 664,398 = 664,398 : x
  2. Step 2: Convert to fraction form
    434,320/664,398 = 664,398/x
  3. Step 3: Cross multiply
    434,320x = 664,398 × 664,398
  4. Step 4: Simplify right side
    434,320x = 441,424,702,404
  5. Step 5: Solve for x
    x = 441,424,702,404/434,320
  6. Step 6: Final answer
    x = 1,016,358.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.