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Finding the Third Proportional to 322,416.75 and 700,818

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Solution

The third proportional to 322,416.75 and 700,818 is: 1,523,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,416.75 : 700,818 = 700,818 : x
  2. Step 2: Convert to fraction form
    322,416.75/700,818 = 700,818/x
  3. Step 3: Cross multiply
    322,416.75x = 700,818 × 700,818
  4. Step 4: Simplify right side
    322,416.75x = 491,145,869,124
  5. Step 5: Solve for x
    x = 491,145,869,124/322,416.75
  6. Step 6: Final answer
    x = 1,523,326.16

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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.