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Finding the Third Proportional to 241,056 and 522,252.56

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Solution

The third proportional to 241,056 and 522,252.56 is: 1,131,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,056 : 522,252.56 = 522,252.56 : x
  2. Step 2: Convert to fraction form
    241,056/522,252.56 = 522,252.56/x
  3. Step 3: Cross multiply
    241,056x = 522,252.56 × 522,252.56
  4. Step 4: Simplify right side
    241,056x = 272,747,739,037.82
  5. Step 5: Solve for x
    x = 272,747,739,037.82/241,056
  6. Step 6: Final answer
    x = 1,131,470.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.