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Finding the Third Proportional to 299,710 and 642,170

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Solution

The third proportional to 299,710 and 642,170 is: 1,375,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,710 : 642,170 = 642,170 : x
  2. Step 2: Convert to fraction form
    299,710/642,170 = 642,170/x
  3. Step 3: Cross multiply
    299,710x = 642,170 × 642,170
  4. Step 4: Simplify right side
    299,710x = 412,382,308,900
  5. Step 5: Solve for x
    x = 412,382,308,900/299,710
  6. Step 6: Final answer
    x = 1,375,937.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.