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Finding the Third Proportional to 332,646.12 and 476,595.14

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Solution

The third proportional to 332,646.12 and 476,595.14 is: 682,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,646.12 : 476,595.14 = 476,595.14 : x
  2. Step 2: Convert to fraction form
    332,646.12/476,595.14 = 476,595.14/x
  3. Step 3: Cross multiply
    332,646.12x = 476,595.14 × 476,595.14
  4. Step 4: Simplify right side
    332,646.12x = 227,142,928,067.36
  5. Step 5: Solve for x
    x = 227,142,928,067.36/332,646.12
  6. Step 6: Final answer
    x = 682,836.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.