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Finding the Third Proportional to 305,472 and 446,112

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Solution

The third proportional to 305,472 and 446,112 is: 651,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,472 : 446,112 = 446,112 : x
  2. Step 2: Convert to fraction form
    305,472/446,112 = 446,112/x
  3. Step 3: Cross multiply
    305,472x = 446,112 × 446,112
  4. Step 4: Simplify right side
    305,472x = 199,015,916,544
  5. Step 5: Solve for x
    x = 199,015,916,544/305,472
  6. Step 6: Final answer
    x = 651,502.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.