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Finding the Third Proportional to 455,901.75 and 992,074.50

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Solution

The third proportional to 455,901.75 and 992,074.50 is: 2,158,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,901.75 : 992,074.50 = 992,074.50 : x
  2. Step 2: Convert to fraction form
    455,901.75/992,074.50 = 992,074.50/x
  3. Step 3: Cross multiply
    455,901.75x = 992,074.50 × 992,074.50
  4. Step 4: Simplify right side
    455,901.75x = 984,211,813,550.25
  5. Step 5: Solve for x
    x = 984,211,813,550.25/455,901.75
  6. Step 6: Final answer
    x = 2,158,824.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.