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Finding the Third Proportional to 269,830 and 586,314

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Solution

The third proportional to 269,830 and 586,314 is: 1,274,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,830 : 586,314 = 586,314 : x
  2. Step 2: Convert to fraction form
    269,830/586,314 = 586,314/x
  3. Step 3: Cross multiply
    269,830x = 586,314 × 586,314
  4. Step 4: Simplify right side
    269,830x = 343,764,106,596
  5. Step 5: Solve for x
    x = 343,764,106,596/269,830
  6. Step 6: Final answer
    x = 1,274,002.54

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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.