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Finding the Third Proportional to 319,950 and 700,165

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Solution

The third proportional to 319,950 and 700,165 is: 1,532,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,950 : 700,165 = 700,165 : x
  2. Step 2: Convert to fraction form
    319,950/700,165 = 700,165/x
  3. Step 3: Cross multiply
    319,950x = 700,165 × 700,165
  4. Step 4: Simplify right side
    319,950x = 490,231,027,225
  5. Step 5: Solve for x
    x = 490,231,027,225/319,950
  6. Step 6: Final answer
    x = 1,532,211.37

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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.