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Finding the Third Proportional to 300,018 and 652,644

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Solution

The third proportional to 300,018 and 652,644 is: 1,419,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,018 : 652,644 = 652,644 : x
  2. Step 2: Convert to fraction form
    300,018/652,644 = 652,644/x
  3. Step 3: Cross multiply
    300,018x = 652,644 × 652,644
  4. Step 4: Simplify right side
    300,018x = 425,944,190,736
  5. Step 5: Solve for x
    x = 425,944,190,736/300,018
  6. Step 6: Final answer
    x = 1,419,728.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.