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Finding the Third Proportional to 619,984.13 and 877,517.72

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Solution

The third proportional to 619,984.13 and 877,517.72 is: 1,242,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,984.13 : 877,517.72 = 877,517.72 : x
  2. Step 2: Convert to fraction form
    619,984.13/877,517.72 = 877,517.72/x
  3. Step 3: Cross multiply
    619,984.13x = 877,517.72 × 877,517.72
  4. Step 4: Simplify right side
    619,984.13x = 770,037,346,720.20
  5. Step 5: Solve for x
    x = 770,037,346,720.20/619,984.13
  6. Step 6: Final answer
    x = 1,242,027.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.