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Finding the Third Proportional to 270,840 and 586,876

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Solution

The third proportional to 270,840 and 586,876 is: 1,271,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,840 : 586,876 = 586,876 : x
  2. Step 2: Convert to fraction form
    270,840/586,876 = 586,876/x
  3. Step 3: Cross multiply
    270,840x = 586,876 × 586,876
  4. Step 4: Simplify right side
    270,840x = 344,423,439,376
  5. Step 5: Solve for x
    x = 344,423,439,376/270,840
  6. Step 6: Final answer
    x = 1,271,686.01

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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.