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Finding the Third Proportional to 228,231 and 503,118

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Solution

The third proportional to 228,231 and 503,118 is: 1,109,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,231 : 503,118 = 503,118 : x
  2. Step 2: Convert to fraction form
    228,231/503,118 = 503,118/x
  3. Step 3: Cross multiply
    228,231x = 503,118 × 503,118
  4. Step 4: Simplify right side
    228,231x = 253,127,721,924
  5. Step 5: Solve for x
    x = 253,127,721,924/228,231
  6. Step 6: Final answer
    x = 1,109,085.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.