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Finding the Third Proportional to 441,675 and 700,504.50

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Solution

The third proportional to 441,675 and 700,504.50 is: 1,111,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,675 : 700,504.50 = 700,504.50 : x
  2. Step 2: Convert to fraction form
    441,675/700,504.50 = 700,504.50/x
  3. Step 3: Cross multiply
    441,675x = 700,504.50 × 700,504.50
  4. Step 4: Simplify right side
    441,675x = 490,706,554,520.25
  5. Step 5: Solve for x
    x = 490,706,554,520.25/441,675
  6. Step 6: Final answer
    x = 1,111,012.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.