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Finding the Third Proportional to 270,231 and 586,614

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Solution

The third proportional to 270,231 and 586,614 is: 1,273,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,231 : 586,614 = 586,614 : x
  2. Step 2: Convert to fraction form
    270,231/586,614 = 586,614/x
  3. Step 3: Cross multiply
    270,231x = 586,614 × 586,614
  4. Step 4: Simplify right side
    270,231x = 344,115,984,996
  5. Step 5: Solve for x
    x = 344,115,984,996/270,231
  6. Step 6: Final answer
    x = 1,273,414.17

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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.