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Finding the Third Proportional to 221,732 and 502,652

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Solution

The third proportional to 221,732 and 502,652 is: 1,139,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,732 : 502,652 = 502,652 : x
  2. Step 2: Convert to fraction form
    221,732/502,652 = 502,652/x
  3. Step 3: Cross multiply
    221,732x = 502,652 × 502,652
  4. Step 4: Simplify right side
    221,732x = 252,659,033,104
  5. Step 5: Solve for x
    x = 252,659,033,104/221,732
  6. Step 6: Final answer
    x = 1,139,479.34

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.