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Finding the Third Proportional to 260,809.88 and 571,444.88

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Solution

The third proportional to 260,809.88 and 571,444.88 is: 1,252,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,809.88 : 571,444.88 = 571,444.88 : x
  2. Step 2: Convert to fraction form
    260,809.88/571,444.88 = 571,444.88/x
  3. Step 3: Cross multiply
    260,809.88x = 571,444.88 × 571,444.88
  4. Step 4: Simplify right side
    260,809.88x = 326,549,245,163.77
  5. Step 5: Solve for x
    x = 326,549,245,163.77/260,809.88
  6. Step 6: Final answer
    x = 1,252,058.59

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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.