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Finding the Third Proportional to 270,657 and 587,416

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Solution

The third proportional to 270,657 and 587,416 is: 1,274,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,657 : 587,416 = 587,416 : x
  2. Step 2: Convert to fraction form
    270,657/587,416 = 587,416/x
  3. Step 3: Cross multiply
    270,657x = 587,416 × 587,416
  4. Step 4: Simplify right side
    270,657x = 345,057,557,056
  5. Step 5: Solve for x
    x = 345,057,557,056/270,657
  6. Step 6: Final answer
    x = 1,274,888.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.