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Finding the Third Proportional to 787.78 and 1,122.05

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Solution

The third proportional to 787.78 and 1,122.05 is: 1,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.78 : 1,122.05 = 1,122.05 : x
  2. Step 2: Convert to fraction form
    787.78/1,122.05 = 1,122.05/x
  3. Step 3: Cross multiply
    787.78x = 1,122.05 × 1,122.05
  4. Step 4: Simplify right side
    787.78x = 1,258,989.19
  5. Step 5: Solve for x
    x = 1,258,989.19/787.78
  6. Step 6: Final answer
    x = 1,598.15

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.