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Finding the Third Proportional to 288,112 and 451,086

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Solution

The third proportional to 288,112 and 451,086 is: 706,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,112 : 451,086 = 451,086 : x
  2. Step 2: Convert to fraction form
    288,112/451,086 = 451,086/x
  3. Step 3: Cross multiply
    288,112x = 451,086 × 451,086
  4. Step 4: Simplify right side
    288,112x = 203,478,579,396
  5. Step 5: Solve for x
    x = 203,478,579,396/288,112
  6. Step 6: Final answer
    x = 706,248.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.