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Finding the Third Proportional to 619,363.13 and 905,141.25

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Solution

The third proportional to 619,363.13 and 905,141.25 is: 1,322,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,363.13 : 905,141.25 = 905,141.25 : x
  2. Step 2: Convert to fraction form
    619,363.13/905,141.25 = 905,141.25/x
  3. Step 3: Cross multiply
    619,363.13x = 905,141.25 × 905,141.25
  4. Step 4: Simplify right side
    619,363.13x = 819,280,682,451.56
  5. Step 5: Solve for x
    x = 819,280,682,451.56/619,363.13
  6. Step 6: Final answer
    x = 1,322,779.24

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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.