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Finding the Third Proportional to 231,702.75 and 541,320.75

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Solution

The third proportional to 231,702.75 and 541,320.75 is: 1,264,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,702.75 : 541,320.75 = 541,320.75 : x
  2. Step 2: Convert to fraction form
    231,702.75/541,320.75 = 541,320.75/x
  3. Step 3: Cross multiply
    231,702.75x = 541,320.75 × 541,320.75
  4. Step 4: Simplify right side
    231,702.75x = 293,028,154,380.56
  5. Step 5: Solve for x
    x = 293,028,154,380.56/231,702.75
  6. Step 6: Final answer
    x = 1,264,672.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.