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Finding the Third Proportional to 175,367 and 424,020

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Solution

The third proportional to 175,367 and 424,020 is: 1,025,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,367 : 424,020 = 424,020 : x
  2. Step 2: Convert to fraction form
    175,367/424,020 = 424,020/x
  3. Step 3: Cross multiply
    175,367x = 424,020 × 424,020
  4. Step 4: Simplify right side
    175,367x = 179,792,960,400
  5. Step 5: Solve for x
    x = 179,792,960,400/175,367
  6. Step 6: Final answer
    x = 1,025,238.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.