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Finding the Third Proportional to 294,877 and 444,759

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Solution

The third proportional to 294,877 and 444,759 is: 670,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,877 : 444,759 = 444,759 : x
  2. Step 2: Convert to fraction form
    294,877/444,759 = 444,759/x
  3. Step 3: Cross multiply
    294,877x = 444,759 × 444,759
  4. Step 4: Simplify right side
    294,877x = 197,810,568,081
  5. Step 5: Solve for x
    x = 197,810,568,081/294,877
  6. Step 6: Final answer
    x = 670,824.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.