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Finding the Third Proportional to 605,801.25 and 950,406.75

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Solution

The third proportional to 605,801.25 and 950,406.75 is: 1,491,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,801.25 : 950,406.75 = 950,406.75 : x
  2. Step 2: Convert to fraction form
    605,801.25/950,406.75 = 950,406.75/x
  3. Step 3: Cross multiply
    605,801.25x = 950,406.75 × 950,406.75
  4. Step 4: Simplify right side
    605,801.25x = 903,272,990,445.56
  5. Step 5: Solve for x
    x = 903,272,990,445.56/605,801.25
  6. Step 6: Final answer
    x = 1,491,038.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.