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Finding the Third Proportional to 260,155.50 and 527,487.38

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Solution

The third proportional to 260,155.50 and 527,487.38 is: 1,069,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,155.50 : 527,487.38 = 527,487.38 : x
  2. Step 2: Convert to fraction form
    260,155.50/527,487.38 = 527,487.38/x
  3. Step 3: Cross multiply
    260,155.50x = 527,487.38 × 527,487.38
  4. Step 4: Simplify right side
    260,155.50x = 278,242,930,784.39
  5. Step 5: Solve for x
    x = 278,242,930,784.39/260,155.50
  6. Step 6: Final answer
    x = 1,069,525.46

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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.