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Finding the Third Proportional to 222,613 and 524,968

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Solution

The third proportional to 222,613 and 524,968 is: 1,237,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,613 : 524,968 = 524,968 : x
  2. Step 2: Convert to fraction form
    222,613/524,968 = 524,968/x
  3. Step 3: Cross multiply
    222,613x = 524,968 × 524,968
  4. Step 4: Simplify right side
    222,613x = 275,591,401,024
  5. Step 5: Solve for x
    x = 275,591,401,024/222,613
  6. Step 6: Final answer
    x = 1,237,984.31

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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.