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Finding the Third Proportional to 207,906.75 and 383,415.75

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Solution

The third proportional to 207,906.75 and 383,415.75 is: 707,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906.75 : 383,415.75 = 383,415.75 : x
  2. Step 2: Convert to fraction form
    207,906.75/383,415.75 = 383,415.75/x
  3. Step 3: Cross multiply
    207,906.75x = 383,415.75 × 383,415.75
  4. Step 4: Simplify right side
    207,906.75x = 147,007,637,348.06
  5. Step 5: Solve for x
    x = 147,007,637,348.06/207,906.75
  6. Step 6: Final answer
    x = 707,084.49

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.