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Finding the Third Proportional to 799.45 and 1,052.16

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Solution

The third proportional to 799.45 and 1,052.16 is: 1,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.45 : 1,052.16 = 1,052.16 : x
  2. Step 2: Convert to fraction form
    799.45/1,052.16 = 1,052.16/x
  3. Step 3: Cross multiply
    799.45x = 1,052.16 × 1,052.16
  4. Step 4: Simplify right side
    799.45x = 1,107,032.77
  5. Step 5: Solve for x
    x = 1,107,032.77/799.45
  6. Step 6: Final answer
    x = 1,384.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.