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Finding the Third Proportional to 251,451.84 and 538,863.89

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Solution

The third proportional to 251,451.84 and 538,863.89 is: 1,154,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,451.84 : 538,863.89 = 538,863.89 : x
  2. Step 2: Convert to fraction form
    251,451.84/538,863.89 = 538,863.89/x
  3. Step 3: Cross multiply
    251,451.84x = 538,863.89 × 538,863.89
  4. Step 4: Simplify right side
    251,451.84x = 290,374,292,619.51
  5. Step 5: Solve for x
    x = 290,374,292,619.51/251,451.84
  6. Step 6: Final answer
    x = 1,154,790.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.