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Finding the Third Proportional to 260,583 and 571,040

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Solution

The third proportional to 260,583 and 571,040 is: 1,251,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,583 : 571,040 = 571,040 : x
  2. Step 2: Convert to fraction form
    260,583/571,040 = 571,040/x
  3. Step 3: Cross multiply
    260,583x = 571,040 × 571,040
  4. Step 4: Simplify right side
    260,583x = 326,086,681,600
  5. Step 5: Solve for x
    x = 326,086,681,600/260,583
  6. Step 6: Final answer
    x = 1,251,373.58

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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.