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Finding the Third Proportional to 230,407.88 and 476,799.75

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Solution

The third proportional to 230,407.88 and 476,799.75 is: 986,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,407.88 : 476,799.75 = 476,799.75 : x
  2. Step 2: Convert to fraction form
    230,407.88/476,799.75 = 476,799.75/x
  3. Step 3: Cross multiply
    230,407.88x = 476,799.75 × 476,799.75
  4. Step 4: Simplify right side
    230,407.88x = 227,338,001,600.06
  5. Step 5: Solve for x
    x = 227,338,001,600.06/230,407.88
  6. Step 6: Final answer
    x = 986,676.35

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.