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Finding the Third Proportional to 322,178 and 758,021

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Solution

The third proportional to 322,178 and 758,021 is: 1,783,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,178 : 758,021 = 758,021 : x
  2. Step 2: Convert to fraction form
    322,178/758,021 = 758,021/x
  3. Step 3: Cross multiply
    322,178x = 758,021 × 758,021
  4. Step 4: Simplify right side
    322,178x = 574,595,836,441
  5. Step 5: Solve for x
    x = 574,595,836,441/322,178
  6. Step 6: Final answer
    x = 1,783,473.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.