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Finding the Third Proportional to 303,732 and 453,086

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Solution

The third proportional to 303,732 and 453,086 is: 675,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,732 : 453,086 = 453,086 : x
  2. Step 2: Convert to fraction form
    303,732/453,086 = 453,086/x
  3. Step 3: Cross multiply
    303,732x = 453,086 × 453,086
  4. Step 4: Simplify right side
    303,732x = 205,286,923,396
  5. Step 5: Solve for x
    x = 205,286,923,396/303,732
  6. Step 6: Final answer
    x = 675,881.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.