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Finding the Third Proportional to 416,352.66 and 897,525.56

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Solution

The third proportional to 416,352.66 and 897,525.56 is: 1,934,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,352.66 : 897,525.56 = 897,525.56 : x
  2. Step 2: Convert to fraction form
    416,352.66/897,525.56 = 897,525.56/x
  3. Step 3: Cross multiply
    416,352.66x = 897,525.56 × 897,525.56
  4. Step 4: Simplify right side
    416,352.66x = 805,552,135,340.94
  5. Step 5: Solve for x
    x = 805,552,135,340.94/416,352.66
  6. Step 6: Final answer
    x = 1,934,783.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.