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Finding the Third Proportional to 445,435.88 and 717,180.75

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Solution

The third proportional to 445,435.88 and 717,180.75 is: 1,154,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,435.88 : 717,180.75 = 717,180.75 : x
  2. Step 2: Convert to fraction form
    445,435.88/717,180.75 = 717,180.75/x
  3. Step 3: Cross multiply
    445,435.88x = 717,180.75 × 717,180.75
  4. Step 4: Simplify right side
    445,435.88x = 514,348,228,170.56
  5. Step 5: Solve for x
    x = 514,348,228,170.56/445,435.88
  6. Step 6: Final answer
    x = 1,154,707.69

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.