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Finding the Third Proportional to 222,638.63 and 525,046.50

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Solution

The third proportional to 222,638.63 and 525,046.50 is: 1,238,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,638.63 : 525,046.50 = 525,046.50 : x
  2. Step 2: Convert to fraction form
    222,638.63/525,046.50 = 525,046.50/x
  3. Step 3: Cross multiply
    222,638.63x = 525,046.50 × 525,046.50
  4. Step 4: Simplify right side
    222,638.63x = 275,673,827,162.25
  5. Step 5: Solve for x
    x = 275,673,827,162.25/222,638.63
  6. Step 6: Final answer
    x = 1,238,212.05

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