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Finding the Third Proportional to 229,787 and 330,963

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Solution

The third proportional to 229,787 and 330,963 is: 476,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,787 : 330,963 = 330,963 : x
  2. Step 2: Convert to fraction form
    229,787/330,963 = 330,963/x
  3. Step 3: Cross multiply
    229,787x = 330,963 × 330,963
  4. Step 4: Simplify right side
    229,787x = 109,536,507,369
  5. Step 5: Solve for x
    x = 109,536,507,369/229,787
  6. Step 6: Final answer
    x = 476,687.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.