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Finding the Third Proportional to 228,952 and 491,760

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Solution

The third proportional to 228,952 and 491,760 is: 1,056,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,952 : 491,760 = 491,760 : x
  2. Step 2: Convert to fraction form
    228,952/491,760 = 491,760/x
  3. Step 3: Cross multiply
    228,952x = 491,760 × 491,760
  4. Step 4: Simplify right side
    228,952x = 241,827,897,600
  5. Step 5: Solve for x
    x = 241,827,897,600/228,952
  6. Step 6: Final answer
    x = 1,056,238.42

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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.