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Finding the Third Proportional to 334,003.78 and 503,860.97

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Solution

The third proportional to 334,003.78 and 503,860.97 is: 760,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,003.78 : 503,860.97 = 503,860.97 : x
  2. Step 2: Convert to fraction form
    334,003.78/503,860.97 = 503,860.97/x
  3. Step 3: Cross multiply
    334,003.78x = 503,860.97 × 503,860.97
  4. Step 4: Simplify right side
    334,003.78x = 253,875,875,829.69
  5. Step 5: Solve for x
    x = 253,875,875,829.69/334,003.78
  6. Step 6: Final answer
    x = 760,098.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.