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Finding the Third Proportional to 207,630 and 452,778.75

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Solution

The third proportional to 207,630 and 452,778.75 is: 987,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,630 : 452,778.75 = 452,778.75 : x
  2. Step 2: Convert to fraction form
    207,630/452,778.75 = 452,778.75/x
  3. Step 3: Cross multiply
    207,630x = 452,778.75 × 452,778.75
  4. Step 4: Simplify right side
    207,630x = 205,008,596,451.56
  5. Step 5: Solve for x
    x = 205,008,596,451.56/207,630
  6. Step 6: Final answer
    x = 987,374.64

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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.