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Finding the Third Proportional to 288,158 and 462,993

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Solution

The third proportional to 288,158 and 462,993 is: 743,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,158 : 462,993 = 462,993 : x
  2. Step 2: Convert to fraction form
    288,158/462,993 = 462,993/x
  3. Step 3: Cross multiply
    288,158x = 462,993 × 462,993
  4. Step 4: Simplify right side
    288,158x = 214,362,518,049
  5. Step 5: Solve for x
    x = 214,362,518,049/288,158
  6. Step 6: Final answer
    x = 743,906.18

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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.