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Finding the Third Proportional to 229,024 and 491,960

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Solution

The third proportional to 229,024 and 491,960 is: 1,056,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,024 : 491,960 = 491,960 : x
  2. Step 2: Convert to fraction form
    229,024/491,960 = 491,960/x
  3. Step 3: Cross multiply
    229,024x = 491,960 × 491,960
  4. Step 4: Simplify right side
    229,024x = 242,024,641,600
  5. Step 5: Solve for x
    x = 242,024,641,600/229,024
  6. Step 6: Final answer
    x = 1,056,765.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.