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Finding the Third Proportional to 260,687 and 571,203

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Solution

The third proportional to 260,687 and 571,203 is: 1,251,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,687 : 571,203 = 571,203 : x
  2. Step 2: Convert to fraction form
    260,687/571,203 = 571,203/x
  3. Step 3: Cross multiply
    260,687x = 571,203 × 571,203
  4. Step 4: Simplify right side
    260,687x = 326,272,867,209
  5. Step 5: Solve for x
    x = 326,272,867,209/260,687
  6. Step 6: Final answer
    x = 1,251,588.56

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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.