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Finding the Third Proportional to 232,713 and 501,048

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Solution

The third proportional to 232,713 and 501,048 is: 1,078,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,713 : 501,048 = 501,048 : x
  2. Step 2: Convert to fraction form
    232,713/501,048 = 501,048/x
  3. Step 3: Cross multiply
    232,713x = 501,048 × 501,048
  4. Step 4: Simplify right side
    232,713x = 251,049,098,304
  5. Step 5: Solve for x
    x = 251,049,098,304/232,713
  6. Step 6: Final answer
    x = 1,078,792.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.