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Finding the Third Proportional to 269,202 and 585,548

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Solution

The third proportional to 269,202 and 585,548 is: 1,273,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,202 : 585,548 = 585,548 : x
  2. Step 2: Convert to fraction form
    269,202/585,548 = 585,548/x
  3. Step 3: Cross multiply
    269,202x = 585,548 × 585,548
  4. Step 4: Simplify right side
    269,202x = 342,866,460,304
  5. Step 5: Solve for x
    x = 342,866,460,304/269,202
  6. Step 6: Final answer
    x = 1,273,640.09

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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.