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Finding the Third Proportional to 228,458 and 491,924

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Solution

The third proportional to 228,458 and 491,924 is: 1,059,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,458 : 491,924 = 491,924 : x
  2. Step 2: Convert to fraction form
    228,458/491,924 = 491,924/x
  3. Step 3: Cross multiply
    228,458x = 491,924 × 491,924
  4. Step 4: Simplify right side
    228,458x = 241,989,221,776
  5. Step 5: Solve for x
    x = 241,989,221,776/228,458
  6. Step 6: Final answer
    x = 1,059,228.49

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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.