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Finding the Third Proportional to 300,336 and 652,932

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Solution

The third proportional to 300,336 and 652,932 is: 1,419,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,336 : 652,932 = 652,932 : x
  2. Step 2: Convert to fraction form
    300,336/652,932 = 652,932/x
  3. Step 3: Cross multiply
    300,336x = 652,932 × 652,932
  4. Step 4: Simplify right side
    300,336x = 426,320,196,624
  5. Step 5: Solve for x
    x = 426,320,196,624/300,336
  6. Step 6: Final answer
    x = 1,419,477.51

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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.