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Finding the Third Proportional to 222,524 and 480,004

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Solution

The third proportional to 222,524 and 480,004 is: 1,035,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,524 : 480,004 = 480,004 : x
  2. Step 2: Convert to fraction form
    222,524/480,004 = 480,004/x
  3. Step 3: Cross multiply
    222,524x = 480,004 × 480,004
  4. Step 4: Simplify right side
    222,524x = 230,403,840,016
  5. Step 5: Solve for x
    x = 230,403,840,016/222,524
  6. Step 6: Final answer
    x = 1,035,411.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.