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Finding the Third Proportional to 252,878.52 and 541,827.35

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Solution

The third proportional to 252,878.52 and 541,827.35 is: 1,160,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,878.52 : 541,827.35 = 541,827.35 : x
  2. Step 2: Convert to fraction form
    252,878.52/541,827.35 = 541,827.35/x
  3. Step 3: Cross multiply
    252,878.52x = 541,827.35 × 541,827.35
  4. Step 4: Simplify right side
    252,878.52x = 293,576,878,901.23
  5. Step 5: Solve for x
    x = 293,576,878,901.23/252,878.52
  6. Step 6: Final answer
    x = 1,160,940.36

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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.