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Finding the Third Proportional to 288,162 and 462,999

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Solution

The third proportional to 288,162 and 462,999 is: 743,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,162 : 462,999 = 462,999 : x
  2. Step 2: Convert to fraction form
    288,162/462,999 = 462,999/x
  3. Step 3: Cross multiply
    288,162x = 462,999 × 462,999
  4. Step 4: Simplify right side
    288,162x = 214,368,074,001
  5. Step 5: Solve for x
    x = 214,368,074,001/288,162
  6. Step 6: Final answer
    x = 743,915.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.