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Finding the Third Proportional to 296,060 and 451,452

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Solution

The third proportional to 296,060 and 451,452 is: 688,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,060 : 451,452 = 451,452 : x
  2. Step 2: Convert to fraction form
    296,060/451,452 = 451,452/x
  3. Step 3: Cross multiply
    296,060x = 451,452 × 451,452
  4. Step 4: Simplify right side
    296,060x = 203,808,908,304
  5. Step 5: Solve for x
    x = 203,808,908,304/296,060
  6. Step 6: Final answer
    x = 688,404.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.