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Finding the Third Proportional to 270,760 and 586,718

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Solution

The third proportional to 270,760 and 586,718 is: 1,271,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,760 : 586,718 = 586,718 : x
  2. Step 2: Convert to fraction form
    270,760/586,718 = 586,718/x
  3. Step 3: Cross multiply
    270,760x = 586,718 × 586,718
  4. Step 4: Simplify right side
    270,760x = 344,238,011,524
  5. Step 5: Solve for x
    x = 344,238,011,524/270,760
  6. Step 6: Final answer
    x = 1,271,376.91

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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.