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Finding the Third Proportional to 332,667 and 700,933.50

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Solution

The third proportional to 332,667 and 700,933.50 is: 1,476,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,667 : 700,933.50 = 700,933.50 : x
  2. Step 2: Convert to fraction form
    332,667/700,933.50 = 700,933.50/x
  3. Step 3: Cross multiply
    332,667x = 700,933.50 × 700,933.50
  4. Step 4: Simplify right side
    332,667x = 491,307,771,422.25
  5. Step 5: Solve for x
    x = 491,307,771,422.25/332,667
  6. Step 6: Final answer
    x = 1,476,875.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.