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Finding the Third Proportional to 269,446 and 586,196

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Solution

The third proportional to 269,446 and 586,196 is: 1,275,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,446 : 586,196 = 586,196 : x
  2. Step 2: Convert to fraction form
    269,446/586,196 = 586,196/x
  3. Step 3: Cross multiply
    269,446x = 586,196 × 586,196
  4. Step 4: Simplify right side
    269,446x = 343,625,750,416
  5. Step 5: Solve for x
    x = 343,625,750,416/269,446
  6. Step 6: Final answer
    x = 1,275,304.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.