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Finding the Third Proportional to 322,406 and 700,783

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Solution

The third proportional to 322,406 and 700,783 is: 1,523,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406 : 700,783 = 700,783 : x
  2. Step 2: Convert to fraction form
    322,406/700,783 = 700,783/x
  3. Step 3: Cross multiply
    322,406x = 700,783 × 700,783
  4. Step 4: Simplify right side
    322,406x = 491,096,813,089
  5. Step 5: Solve for x
    x = 491,096,813,089/322,406
  6. Step 6: Final answer
    x = 1,523,224.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.