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Finding the Third Proportional to 260,847 and 571,572

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Solution

The third proportional to 260,847 and 571,572 is: 1,252,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,847 : 571,572 = 571,572 : x
  2. Step 2: Convert to fraction form
    260,847/571,572 = 571,572/x
  3. Step 3: Cross multiply
    260,847x = 571,572 × 571,572
  4. Step 4: Simplify right side
    260,847x = 326,694,551,184
  5. Step 5: Solve for x
    x = 326,694,551,184/260,847
  6. Step 6: Final answer
    x = 1,252,437.45

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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.