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Finding the Third Proportional to 260,782 and 571,338

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Solution

The third proportional to 260,782 and 571,338 is: 1,251,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,782 : 571,338 = 571,338 : x
  2. Step 2: Convert to fraction form
    260,782/571,338 = 571,338/x
  3. Step 3: Cross multiply
    260,782x = 571,338 × 571,338
  4. Step 4: Simplify right side
    260,782x = 326,427,110,244
  5. Step 5: Solve for x
    x = 326,427,110,244/260,782
  6. Step 6: Final answer
    x = 1,251,724.08

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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.