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Finding the Third Proportional to 772.03 and 1,411.17

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Solution

The third proportional to 772.03 and 1,411.17 is: 2,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.03 : 1,411.17 = 1,411.17 : x
  2. Step 2: Convert to fraction form
    772.03/1,411.17 = 1,411.17/x
  3. Step 3: Cross multiply
    772.03x = 1,411.17 × 1,411.17
  4. Step 4: Simplify right side
    772.03x = 1,991,406.06
  5. Step 5: Solve for x
    x = 1,991,406.06/772.03
  6. Step 6: Final answer
    x = 2,579.44

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.