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Finding the Third Proportional to 393,909.75 and 608,352.19

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Solution

The third proportional to 393,909.75 and 608,352.19 is: 939,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,909.75 : 608,352.19 = 608,352.19 : x
  2. Step 2: Convert to fraction form
    393,909.75/608,352.19 = 608,352.19/x
  3. Step 3: Cross multiply
    393,909.75x = 608,352.19 × 608,352.19
  4. Step 4: Simplify right side
    393,909.75x = 370,092,384,036.04
  5. Step 5: Solve for x
    x = 370,092,384,036.04/393,909.75
  6. Step 6: Final answer
    x = 939,535.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.