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Finding the Third Proportional to 780.89 and 1,671.05

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Solution

The third proportional to 780.89 and 1,671.05 is: 3,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.89 : 1,671.05 = 1,671.05 : x
  2. Step 2: Convert to fraction form
    780.89/1,671.05 = 1,671.05/x
  3. Step 3: Cross multiply
    780.89x = 1,671.05 × 1,671.05
  4. Step 4: Simplify right side
    780.89x = 2,792,397.66
  5. Step 5: Solve for x
    x = 2,792,397.66/780.89
  6. Step 6: Final answer
    x = 3,575.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.