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Finding the Third Proportional to 260,688.38 and 571,191.75

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Solution

The third proportional to 260,688.38 and 571,191.75 is: 1,251,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,688.38 : 571,191.75 = 571,191.75 : x
  2. Step 2: Convert to fraction form
    260,688.38/571,191.75 = 571,191.75/x
  3. Step 3: Cross multiply
    260,688.38x = 571,191.75 × 571,191.75
  4. Step 4: Simplify right side
    260,688.38x = 326,260,015,268.06
  5. Step 5: Solve for x
    x = 326,260,015,268.06/260,688.38
  6. Step 6: Final answer
    x = 1,251,532.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.