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Finding the Third Proportional to 222,431 and 524,854

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Solution

The third proportional to 222,431 and 524,854 is: 1,238,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,431 : 524,854 = 524,854 : x
  2. Step 2: Convert to fraction form
    222,431/524,854 = 524,854/x
  3. Step 3: Cross multiply
    222,431x = 524,854 × 524,854
  4. Step 4: Simplify right side
    222,431x = 275,471,721,316
  5. Step 5: Solve for x
    x = 275,471,721,316/222,431
  6. Step 6: Final answer
    x = 1,238,459.21

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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.