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Finding the Third Proportional to 232,872 and 501,360

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Solution

The third proportional to 232,872 and 501,360 is: 1,079,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,872 : 501,360 = 501,360 : x
  2. Step 2: Convert to fraction form
    232,872/501,360 = 501,360/x
  3. Step 3: Cross multiply
    232,872x = 501,360 × 501,360
  4. Step 4: Simplify right side
    232,872x = 251,361,849,600
  5. Step 5: Solve for x
    x = 251,361,849,600/232,872
  6. Step 6: Final answer
    x = 1,079,399.20

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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.