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Finding the Third Proportional to 254,924 and 404,884

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Solution

The third proportional to 254,924 and 404,884 is: 643,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,924 : 404,884 = 404,884 : x
  2. Step 2: Convert to fraction form
    254,924/404,884 = 404,884/x
  3. Step 3: Cross multiply
    254,924x = 404,884 × 404,884
  4. Step 4: Simplify right side
    254,924x = 163,931,053,456
  5. Step 5: Solve for x
    x = 163,931,053,456/254,924
  6. Step 6: Final answer
    x = 643,058.53

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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.