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Finding the Third Proportional to 783.14 and 1,245.52

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Solution

The third proportional to 783.14 and 1,245.52 is: 1,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.14 : 1,245.52 = 1,245.52 : x
  2. Step 2: Convert to fraction form
    783.14/1,245.52 = 1,245.52/x
  3. Step 3: Cross multiply
    783.14x = 1,245.52 × 1,245.52
  4. Step 4: Simplify right side
    783.14x = 1,551,309.17
  5. Step 5: Solve for x
    x = 1,551,309.17/783.14
  6. Step 6: Final answer
    x = 1,980.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.