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Finding the Third Proportional to 435,828 and 666,414

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Solution

The third proportional to 435,828 and 666,414 is: 1,018,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,828 : 666,414 = 666,414 : x
  2. Step 2: Convert to fraction form
    435,828/666,414 = 666,414/x
  3. Step 3: Cross multiply
    435,828x = 666,414 × 666,414
  4. Step 4: Simplify right side
    435,828x = 444,107,619,396
  5. Step 5: Solve for x
    x = 444,107,619,396/435,828
  6. Step 6: Final answer
    x = 1,018,997.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.