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Finding the Third Proportional to 269,891 and 403,349

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Solution

The third proportional to 269,891 and 403,349 is: 602,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,891 : 403,349 = 403,349 : x
  2. Step 2: Convert to fraction form
    269,891/403,349 = 403,349/x
  3. Step 3: Cross multiply
    269,891x = 403,349 × 403,349
  4. Step 4: Simplify right side
    269,891x = 162,690,415,801
  5. Step 5: Solve for x
    x = 162,690,415,801/269,891
  6. Step 6: Final answer
    x = 602,800.45

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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.