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Finding the Third Proportional to 232,885.13 and 503,116.31

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Solution

The third proportional to 232,885.13 and 503,116.31 is: 1,086,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,885.13 : 503,116.31 = 503,116.31 : x
  2. Step 2: Convert to fraction form
    232,885.13/503,116.31 = 503,116.31/x
  3. Step 3: Cross multiply
    232,885.13x = 503,116.31 × 503,116.31
  4. Step 4: Simplify right side
    232,885.13x = 253,126,023,903.60
  5. Step 5: Solve for x
    x = 253,126,023,903.60/232,885.13
  6. Step 6: Final answer
    x = 1,086,913.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.