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Finding the Third Proportional to 270,666 and 587,436

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Solution

The third proportional to 270,666 and 587,436 is: 1,274,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,666 : 587,436 = 587,436 : x
  2. Step 2: Convert to fraction form
    270,666/587,436 = 587,436/x
  3. Step 3: Cross multiply
    270,666x = 587,436 × 587,436
  4. Step 4: Simplify right side
    270,666x = 345,081,054,096
  5. Step 5: Solve for x
    x = 345,081,054,096/270,666
  6. Step 6: Final answer
    x = 1,274,933.14

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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.