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Finding the Third Proportional to 269,924 and 403,400

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Solution

The third proportional to 269,924 and 403,400 is: 602,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,924 : 403,400 = 403,400 : x
  2. Step 2: Convert to fraction form
    269,924/403,400 = 403,400/x
  3. Step 3: Cross multiply
    269,924x = 403,400 × 403,400
  4. Step 4: Simplify right side
    269,924x = 162,731,560,000
  5. Step 5: Solve for x
    x = 162,731,560,000/269,924
  6. Step 6: Final answer
    x = 602,879.18

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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.