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Finding the Third Proportional to 377.06 and 807.94

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Solution

The third proportional to 377.06 and 807.94 is: 1,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 807.94 = 807.94 : x
  2. Step 2: Convert to fraction form
    377.06/807.94 = 807.94/x
  3. Step 3: Cross multiply
    377.06x = 807.94 × 807.94
  4. Step 4: Simplify right side
    377.06x = 652,763.00
  5. Step 5: Solve for x
    x = 652,763.00/377.06
  6. Step 6: Final answer
    x = 1,731.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.