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Finding the Third Proportional to 270,833 and 586,867

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Solution

The third proportional to 270,833 and 586,867 is: 1,271,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,833 : 586,867 = 586,867 : x
  2. Step 2: Convert to fraction form
    270,833/586,867 = 586,867/x
  3. Step 3: Cross multiply
    270,833x = 586,867 × 586,867
  4. Step 4: Simplify right side
    270,833x = 344,412,875,689
  5. Step 5: Solve for x
    x = 344,412,875,689/270,833
  6. Step 6: Final answer
    x = 1,271,679.88

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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.