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Finding the Third Proportional to 322,018 and 706,244

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Solution

The third proportional to 322,018 and 706,244 is: 1,548,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,018 : 706,244 = 706,244 : x
  2. Step 2: Convert to fraction form
    322,018/706,244 = 706,244/x
  3. Step 3: Cross multiply
    322,018x = 706,244 × 706,244
  4. Step 4: Simplify right side
    322,018x = 498,780,587,536
  5. Step 5: Solve for x
    x = 498,780,587,536/322,018
  6. Step 6: Final answer
    x = 1,548,921.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.