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Finding the Third Proportional to 783.84 and 1,260.14

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Solution

The third proportional to 783.84 and 1,260.14 is: 2,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,260.14 = 1,260.14 : x
  2. Step 2: Convert to fraction form
    783.84/1,260.14 = 1,260.14/x
  3. Step 3: Cross multiply
    783.84x = 1,260.14 × 1,260.14
  4. Step 4: Simplify right side
    783.84x = 1,587,954.39
  5. Step 5: Solve for x
    x = 1,587,954.39/783.84
  6. Step 6: Final answer
    x = 2,025.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.