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Finding the Third Proportional to 300,324 and 652,908

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Solution

The third proportional to 300,324 and 652,908 is: 1,419,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,324 : 652,908 = 652,908 : x
  2. Step 2: Convert to fraction form
    300,324/652,908 = 652,908/x
  3. Step 3: Cross multiply
    300,324x = 652,908 × 652,908
  4. Step 4: Simplify right side
    300,324x = 426,288,856,464
  5. Step 5: Solve for x
    x = 426,288,856,464/300,324
  6. Step 6: Final answer
    x = 1,419,429.87

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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.