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Finding the Third Proportional to 260,320.50 and 527,883.75

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Solution

The third proportional to 260,320.50 and 527,883.75 is: 1,070,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,320.50 : 527,883.75 = 527,883.75 : x
  2. Step 2: Convert to fraction form
    260,320.50/527,883.75 = 527,883.75/x
  3. Step 3: Cross multiply
    260,320.50x = 527,883.75 × 527,883.75
  4. Step 4: Simplify right side
    260,320.50x = 278,661,253,514.06
  5. Step 5: Solve for x
    x = 278,661,253,514.06/260,320.50
  6. Step 6: Final answer
    x = 1,070,454.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.