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Finding the Third Proportional to 578,790 and 905,229

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Solution

The third proportional to 578,790 and 905,229 is: 1,415,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,790 : 905,229 = 905,229 : x
  2. Step 2: Convert to fraction form
    578,790/905,229 = 905,229/x
  3. Step 3: Cross multiply
    578,790x = 905,229 × 905,229
  4. Step 4: Simplify right side
    578,790x = 819,439,542,441
  5. Step 5: Solve for x
    x = 819,439,542,441/578,790
  6. Step 6: Final answer
    x = 1,415,780.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.