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Finding the Third Proportional to 375,527.25 and 576,414

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Solution

The third proportional to 375,527.25 and 576,414 is: 884,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,527.25 : 576,414 = 576,414 : x
  2. Step 2: Convert to fraction form
    375,527.25/576,414 = 576,414/x
  3. Step 3: Cross multiply
    375,527.25x = 576,414 × 576,414
  4. Step 4: Simplify right side
    375,527.25x = 332,253,099,396
  5. Step 5: Solve for x
    x = 332,253,099,396/375,527.25
  6. Step 6: Final answer
    x = 884,764.29

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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.