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Finding the Third Proportional to 782.16 and 1,197.28

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Solution

The third proportional to 782.16 and 1,197.28 is: 1,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.16 : 1,197.28 = 1,197.28 : x
  2. Step 2: Convert to fraction form
    782.16/1,197.28 = 1,197.28/x
  3. Step 3: Cross multiply
    782.16x = 1,197.28 × 1,197.28
  4. Step 4: Simplify right side
    782.16x = 1,433,482.39
  5. Step 5: Solve for x
    x = 1,433,482.39/782.16
  6. Step 6: Final answer
    x = 1,832.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.