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Finding the Third Proportional to 254,850 and 404,875

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Solution

The third proportional to 254,850 and 404,875 is: 643,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,850 : 404,875 = 404,875 : x
  2. Step 2: Convert to fraction form
    254,850/404,875 = 404,875/x
  3. Step 3: Cross multiply
    254,850x = 404,875 × 404,875
  4. Step 4: Simplify right side
    254,850x = 163,923,765,625
  5. Step 5: Solve for x
    x = 163,923,765,625/254,850
  6. Step 6: Final answer
    x = 643,216.66

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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.