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Finding the Third Proportional to 323,024 and 452,654

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Solution

The third proportional to 323,024 and 452,654 is: 634,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,024 : 452,654 = 452,654 : x
  2. Step 2: Convert to fraction form
    323,024/452,654 = 452,654/x
  3. Step 3: Cross multiply
    323,024x = 452,654 × 452,654
  4. Step 4: Simplify right side
    323,024x = 204,895,643,716
  5. Step 5: Solve for x
    x = 204,895,643,716/323,024
  6. Step 6: Final answer
    x = 634,304.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.