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Finding the Third Proportional to 322,407 and 700,785

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Solution

The third proportional to 322,407 and 700,785 is: 1,523,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,407 : 700,785 = 700,785 : x
  2. Step 2: Convert to fraction form
    322,407/700,785 = 700,785/x
  3. Step 3: Cross multiply
    322,407x = 700,785 × 700,785
  4. Step 4: Simplify right side
    322,407x = 491,099,616,225
  5. Step 5: Solve for x
    x = 491,099,616,225/322,407
  6. Step 6: Final answer
    x = 1,523,228.76

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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.