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Finding the Third Proportional to 229,032 and 491,922

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Solution

The third proportional to 229,032 and 491,922 is: 1,056,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,032 : 491,922 = 491,922 : x
  2. Step 2: Convert to fraction form
    229,032/491,922 = 491,922/x
  3. Step 3: Cross multiply
    229,032x = 491,922 × 491,922
  4. Step 4: Simplify right side
    229,032x = 241,987,254,084
  5. Step 5: Solve for x
    x = 241,987,254,084/229,032
  6. Step 6: Final answer
    x = 1,056,565.26

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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.