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Finding the Third Proportional to 300,300 and 652,872

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Solution

The third proportional to 300,300 and 652,872 is: 1,419,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,300 : 652,872 = 652,872 : x
  2. Step 2: Convert to fraction form
    300,300/652,872 = 652,872/x
  3. Step 3: Cross multiply
    300,300x = 652,872 × 652,872
  4. Step 4: Simplify right side
    300,300x = 426,241,848,384
  5. Step 5: Solve for x
    x = 426,241,848,384/300,300
  6. Step 6: Final answer
    x = 1,419,386.77

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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.