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Finding the Third Proportional to 232,885.13 and 475,566.19

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Solution

The third proportional to 232,885.13 and 475,566.19 is: 971,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,885.13 : 475,566.19 = 475,566.19 : x
  2. Step 2: Convert to fraction form
    232,885.13/475,566.19 = 475,566.19/x
  3. Step 3: Cross multiply
    232,885.13x = 475,566.19 × 475,566.19
  4. Step 4: Simplify right side
    232,885.13x = 226,163,198,693.29
  5. Step 5: Solve for x
    x = 226,163,198,693.29/232,885.13
  6. Step 6: Final answer
    x = 971,136.30

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.