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Finding the Third Proportional to 222,585.75 and 524,914.50

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Solution

The third proportional to 222,585.75 and 524,914.50 is: 1,237,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,585.75 : 524,914.50 = 524,914.50 : x
  2. Step 2: Convert to fraction form
    222,585.75/524,914.50 = 524,914.50/x
  3. Step 3: Cross multiply
    222,585.75x = 524,914.50 × 524,914.50
  4. Step 4: Simplify right side
    222,585.75x = 275,535,232,310.25
  5. Step 5: Solve for x
    x = 275,535,232,310.25/222,585.75
  6. Step 6: Final answer
    x = 1,237,883.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.