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Finding the Third Proportional to 260,602.59 and 571,027.78

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Solution

The third proportional to 260,602.59 and 571,027.78 is: 1,251,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,602.59 : 571,027.78 = 571,027.78 : x
  2. Step 2: Convert to fraction form
    260,602.59/571,027.78 = 571,027.78/x
  3. Step 3: Cross multiply
    260,602.59x = 571,027.78 × 571,027.78
  4. Step 4: Simplify right side
    260,602.59x = 326,072,726,959.30
  5. Step 5: Solve for x
    x = 326,072,726,959.30/260,602.59
  6. Step 6: Final answer
    x = 1,251,225.95

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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.