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Finding the Third Proportional to 270,832 and 586,864

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Solution

The third proportional to 270,832 and 586,864 is: 1,271,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,832 : 586,864 = 586,864 : x
  2. Step 2: Convert to fraction form
    270,832/586,864 = 586,864/x
  3. Step 3: Cross multiply
    270,832x = 586,864 × 586,864
  4. Step 4: Simplify right side
    270,832x = 344,409,354,496
  5. Step 5: Solve for x
    x = 344,409,354,496/270,832
  6. Step 6: Final answer
    x = 1,271,671.57

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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.