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Finding the Third Proportional to 375,674 and 813,976

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Solution

The third proportional to 375,674 and 813,976 is: 1,763,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,674 : 813,976 = 813,976 : x
  2. Step 2: Convert to fraction form
    375,674/813,976 = 813,976/x
  3. Step 3: Cross multiply
    375,674x = 813,976 × 813,976
  4. Step 4: Simplify right side
    375,674x = 662,556,928,576
  5. Step 5: Solve for x
    x = 662,556,928,576/375,674
  6. Step 6: Final answer
    x = 1,763,648.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.