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Finding the Third Proportional to 222,434 and 524,862

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Solution

The third proportional to 222,434 and 524,862 is: 1,238,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,434 : 524,862 = 524,862 : x
  2. Step 2: Convert to fraction form
    222,434/524,862 = 524,862/x
  3. Step 3: Cross multiply
    222,434x = 524,862 × 524,862
  4. Step 4: Simplify right side
    222,434x = 275,480,119,044
  5. Step 5: Solve for x
    x = 275,480,119,044/222,434
  6. Step 6: Final answer
    x = 1,238,480.26

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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.