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Finding the Third Proportional to 260,566 and 571,010

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Solution

The third proportional to 260,566 and 571,010 is: 1,251,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,566 : 571,010 = 571,010 : x
  2. Step 2: Convert to fraction form
    260,566/571,010 = 571,010/x
  3. Step 3: Cross multiply
    260,566x = 571,010 × 571,010
  4. Step 4: Simplify right side
    260,566x = 326,052,420,100
  5. Step 5: Solve for x
    x = 326,052,420,100/260,566
  6. Step 6: Final answer
    x = 1,251,323.73

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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.