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Finding the Third Proportional to 203,234 and 467,429

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Solution

The third proportional to 203,234 and 467,429 is: 1,075,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,234 : 467,429 = 467,429 : x
  2. Step 2: Convert to fraction form
    203,234/467,429 = 467,429/x
  3. Step 3: Cross multiply
    203,234x = 467,429 × 467,429
  4. Step 4: Simplify right side
    203,234x = 218,489,870,041
  5. Step 5: Solve for x
    x = 218,489,870,041/203,234
  6. Step 6: Final answer
    x = 1,075,065.54

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.