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Finding the Third Proportional to 250,189 and 510,566

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Solution

The third proportional to 250,189 and 510,566 is: 1,041,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,189 : 510,566 = 510,566 : x
  2. Step 2: Convert to fraction form
    250,189/510,566 = 510,566/x
  3. Step 3: Cross multiply
    250,189x = 510,566 × 510,566
  4. Step 4: Simplify right side
    250,189x = 260,677,640,356
  5. Step 5: Solve for x
    x = 260,677,640,356/250,189
  6. Step 6: Final answer
    x = 1,041,922.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.