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Finding the Third Proportional to 269,874 and 402,624

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Solution

The third proportional to 269,874 and 402,624 is: 600,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,874 : 402,624 = 402,624 : x
  2. Step 2: Convert to fraction form
    269,874/402,624 = 402,624/x
  3. Step 3: Cross multiply
    269,874x = 402,624 × 402,624
  4. Step 4: Simplify right side
    269,874x = 162,106,085,376
  5. Step 5: Solve for x
    x = 162,106,085,376/269,874
  6. Step 6: Final answer
    x = 600,673.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.