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Finding the Third Proportional to 445,326.75 and 970,575.75

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Solution

The third proportional to 445,326.75 and 970,575.75 is: 2,115,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,326.75 : 970,575.75 = 970,575.75 : x
  2. Step 2: Convert to fraction form
    445,326.75/970,575.75 = 970,575.75/x
  3. Step 3: Cross multiply
    445,326.75x = 970,575.75 × 970,575.75
  4. Step 4: Simplify right side
    445,326.75x = 942,017,286,488.06
  5. Step 5: Solve for x
    x = 942,017,286,488.06/445,326.75
  6. Step 6: Final answer
    x = 2,115,339.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.