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Finding the Third Proportional to 497,304 and 763,131

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Solution

The third proportional to 497,304 and 763,131 is: 1,171,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,304 : 763,131 = 763,131 : x
  2. Step 2: Convert to fraction form
    497,304/763,131 = 763,131/x
  3. Step 3: Cross multiply
    497,304x = 763,131 × 763,131
  4. Step 4: Simplify right side
    497,304x = 582,368,923,161
  5. Step 5: Solve for x
    x = 582,368,923,161/497,304
  6. Step 6: Final answer
    x = 1,171,052.16

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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.