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Finding the Third Proportional to 254,374 and 404,910

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Solution

The third proportional to 254,374 and 404,910 is: 644,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,374 : 404,910 = 404,910 : x
  2. Step 2: Convert to fraction form
    254,374/404,910 = 404,910/x
  3. Step 3: Cross multiply
    254,374x = 404,910 × 404,910
  4. Step 4: Simplify right side
    254,374x = 163,952,108,100
  5. Step 5: Solve for x
    x = 163,952,108,100/254,374
  6. Step 6: Final answer
    x = 644,531.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.