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Finding the Third Proportional to 251,324 and 547,036

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Solution

The third proportional to 251,324 and 547,036 is: 1,190,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,324 : 547,036 = 547,036 : x
  2. Step 2: Convert to fraction form
    251,324/547,036 = 547,036/x
  3. Step 3: Cross multiply
    251,324x = 547,036 × 547,036
  4. Step 4: Simplify right side
    251,324x = 299,248,385,296
  5. Step 5: Solve for x
    x = 299,248,385,296/251,324
  6. Step 6: Final answer
    x = 1,190,687.66

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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.