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Finding the Third Proportional to 516,901.50 and 755,304.75

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Solution

The third proportional to 516,901.50 and 755,304.75 is: 1,103,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,901.50 : 755,304.75 = 755,304.75 : x
  2. Step 2: Convert to fraction form
    516,901.50/755,304.75 = 755,304.75/x
  3. Step 3: Cross multiply
    516,901.50x = 755,304.75 × 755,304.75
  4. Step 4: Simplify right side
    516,901.50x = 570,485,265,372.56
  5. Step 5: Solve for x
    x = 570,485,265,372.56/516,901.50
  6. Step 6: Final answer
    x = 1,103,663.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.