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Finding the Third Proportional to 251,277.19 and 547,729.59

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Solution

The third proportional to 251,277.19 and 547,729.59 is: 1,193,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,277.19 : 547,729.59 = 547,729.59 : x
  2. Step 2: Convert to fraction form
    251,277.19/547,729.59 = 547,729.59/x
  3. Step 3: Cross multiply
    251,277.19x = 547,729.59 × 547,729.59
  4. Step 4: Simplify right side
    251,277.19x = 300,007,707,869.54
  5. Step 5: Solve for x
    x = 300,007,707,869.54/251,277.19
  6. Step 6: Final answer
    x = 1,193,931.33

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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.