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Finding the Third Proportional to 222,583 and 524,904

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Solution

The third proportional to 222,583 and 524,904 is: 1,237,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,583 : 524,904 = 524,904 : x
  2. Step 2: Convert to fraction form
    222,583/524,904 = 524,904/x
  3. Step 3: Cross multiply
    222,583x = 524,904 × 524,904
  4. Step 4: Simplify right side
    222,583x = 275,524,209,216
  5. Step 5: Solve for x
    x = 275,524,209,216/222,583
  6. Step 6: Final answer
    x = 1,237,849.29

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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.