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Finding the Third Proportional to 270,154 and 587,875

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Solution

The third proportional to 270,154 and 587,875 is: 1,279,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,154 : 587,875 = 587,875 : x
  2. Step 2: Convert to fraction form
    270,154/587,875 = 587,875/x
  3. Step 3: Cross multiply
    270,154x = 587,875 × 587,875
  4. Step 4: Simplify right side
    270,154x = 345,597,015,625
  5. Step 5: Solve for x
    x = 345,597,015,625/270,154
  6. Step 6: Final answer
    x = 1,279,259.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.