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Finding the Third Proportional to 270,760 and 586,716

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Solution

The third proportional to 270,760 and 586,716 is: 1,271,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,760 : 586,716 = 586,716 : x
  2. Step 2: Convert to fraction form
    270,760/586,716 = 586,716/x
  3. Step 3: Cross multiply
    270,760x = 586,716 × 586,716
  4. Step 4: Simplify right side
    270,760x = 344,235,664,656
  5. Step 5: Solve for x
    x = 344,235,664,656/270,760
  6. Step 6: Final answer
    x = 1,271,368.24

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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.