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Finding the Third Proportional to 783.11 and 1,372.57

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Solution

The third proportional to 783.11 and 1,372.57 is: 2,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,372.57 = 1,372.57 : x
  2. Step 2: Convert to fraction form
    783.11/1,372.57 = 1,372.57/x
  3. Step 3: Cross multiply
    783.11x = 1,372.57 × 1,372.57
  4. Step 4: Simplify right side
    783.11x = 1,883,949.26
  5. Step 5: Solve for x
    x = 1,883,949.26/783.11
  6. Step 6: Final answer
    x = 2,405.74

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.