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Finding the Third Proportional to 445,675.50 and 605,542.50

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Solution

The third proportional to 445,675.50 and 605,542.50 is: 822,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,675.50 : 605,542.50 = 605,542.50 : x
  2. Step 2: Convert to fraction form
    445,675.50/605,542.50 = 605,542.50/x
  3. Step 3: Cross multiply
    445,675.50x = 605,542.50 × 605,542.50
  4. Step 4: Simplify right side
    445,675.50x = 366,681,719,306.25
  5. Step 5: Solve for x
    x = 366,681,719,306.25/445,675.50
  6. Step 6: Final answer
    x = 822,754.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.