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Finding the Third Proportional to 532,121.25 and 826,165.50

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Solution

The third proportional to 532,121.25 and 826,165.50 is: 1,282,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,121.25 : 826,165.50 = 826,165.50 : x
  2. Step 2: Convert to fraction form
    532,121.25/826,165.50 = 826,165.50/x
  3. Step 3: Cross multiply
    532,121.25x = 826,165.50 × 826,165.50
  4. Step 4: Simplify right side
    532,121.25x = 682,549,433,390.25
  5. Step 5: Solve for x
    x = 682,549,433,390.25/532,121.25
  6. Step 6: Final answer
    x = 1,282,695.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.