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Finding the Third Proportional to 467,330 and 700,211

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Solution

The third proportional to 467,330 and 700,211 is: 1,049,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,330 : 700,211 = 700,211 : x
  2. Step 2: Convert to fraction form
    467,330/700,211 = 700,211/x
  3. Step 3: Cross multiply
    467,330x = 700,211 × 700,211
  4. Step 4: Simplify right side
    467,330x = 490,295,444,521
  5. Step 5: Solve for x
    x = 490,295,444,521/467,330
  6. Step 6: Final answer
    x = 1,049,141.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.