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Finding the Third Proportional to 601,980.75 and 905,158.13

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Solution

The third proportional to 601,980.75 and 905,158.13 is: 1,361,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,980.75 : 905,158.13 = 905,158.13 : x
  2. Step 2: Convert to fraction form
    601,980.75/905,158.13 = 905,158.13/x
  3. Step 3: Cross multiply
    601,980.75x = 905,158.13 × 905,158.13
  4. Step 4: Simplify right side
    601,980.75x = 819,311,231,253.52
  5. Step 5: Solve for x
    x = 819,311,231,253.52/601,980.75
  6. Step 6: Final answer
    x = 1,361,025.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.