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Finding the Third Proportional to 398,362.50 and 933,212.25

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Solution

The third proportional to 398,362.50 and 933,212.25 is: 2,186,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,362.50 : 933,212.25 = 933,212.25 : x
  2. Step 2: Convert to fraction form
    398,362.50/933,212.25 = 933,212.25/x
  3. Step 3: Cross multiply
    398,362.50x = 933,212.25 × 933,212.25
  4. Step 4: Simplify right side
    398,362.50x = 870,885,103,550.06
  5. Step 5: Solve for x
    x = 870,885,103,550.06/398,362.50
  6. Step 6: Final answer
    x = 2,186,162.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.