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Finding the Third Proportional to 566,635.50 and 884,418.75

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Solution

The third proportional to 566,635.50 and 884,418.75 is: 1,380,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,635.50 : 884,418.75 = 884,418.75 : x
  2. Step 2: Convert to fraction form
    566,635.50/884,418.75 = 884,418.75/x
  3. Step 3: Cross multiply
    566,635.50x = 884,418.75 × 884,418.75
  4. Step 4: Simplify right side
    566,635.50x = 782,196,525,351.56
  5. Step 5: Solve for x
    x = 782,196,525,351.56/566,635.50
  6. Step 6: Final answer
    x = 1,380,422.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.