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Finding the Third Proportional to 291,724 and 372,732

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Solution

The third proportional to 291,724 and 372,732 is: 476,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,724 : 372,732 = 372,732 : x
  2. Step 2: Convert to fraction form
    291,724/372,732 = 372,732/x
  3. Step 3: Cross multiply
    291,724x = 372,732 × 372,732
  4. Step 4: Simplify right side
    291,724x = 138,929,143,824
  5. Step 5: Solve for x
    x = 138,929,143,824/291,724
  6. Step 6: Final answer
    x = 476,234.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.