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Finding the Third Proportional to 254,576.25 and 538,677

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Solution

The third proportional to 254,576.25 and 538,677 is: 1,139,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,576.25 : 538,677 = 538,677 : x
  2. Step 2: Convert to fraction form
    254,576.25/538,677 = 538,677/x
  3. Step 3: Cross multiply
    254,576.25x = 538,677 × 538,677
  4. Step 4: Simplify right side
    254,576.25x = 290,172,910,329
  5. Step 5: Solve for x
    x = 290,172,910,329/254,576.25
  6. Step 6: Final answer
    x = 1,139,827.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.