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Finding the Third Proportional to 251,576 and 542,536

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Solution

The third proportional to 251,576 and 542,536 is: 1,170,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,576 : 542,536 = 542,536 : x
  2. Step 2: Convert to fraction form
    251,576/542,536 = 542,536/x
  3. Step 3: Cross multiply
    251,576x = 542,536 × 542,536
  4. Step 4: Simplify right side
    251,576x = 294,345,311,296
  5. Step 5: Solve for x
    x = 294,345,311,296/251,576
  6. Step 6: Final answer
    x = 1,170,005.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.