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Finding the Third Proportional to 251,236.69 and 547,639.31

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Solution

The third proportional to 251,236.69 and 547,639.31 is: 1,193,730.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,236.69 : 547,639.31 = 547,639.31 : x
  2. Step 2: Convert to fraction form
    251,236.69/547,639.31 = 547,639.31/x
  3. Step 3: Cross multiply
    251,236.69x = 547,639.31 × 547,639.31
  4. Step 4: Simplify right side
    251,236.69x = 299,908,816,595.47
  5. Step 5: Solve for x
    x = 299,908,816,595.47/251,236.69
  6. Step 6: Final answer
    x = 1,193,730.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.