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Finding the Third Proportional to 320,100 and 457,452

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Solution

The third proportional to 320,100 and 457,452 is: 653,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,100 : 457,452 = 457,452 : x
  2. Step 2: Convert to fraction form
    320,100/457,452 = 457,452/x
  3. Step 3: Cross multiply
    320,100x = 457,452 × 457,452
  4. Step 4: Simplify right side
    320,100x = 209,262,332,304
  5. Step 5: Solve for x
    x = 209,262,332,304/320,100
  6. Step 6: Final answer
    x = 653,740.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.