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Finding the Third Proportional to 221,710.50 and 502,608.38

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Solution

The third proportional to 221,710.50 and 502,608.38 is: 1,139,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,710.50 : 502,608.38 = 502,608.38 : x
  2. Step 2: Convert to fraction form
    221,710.50/502,608.38 = 502,608.38/x
  3. Step 3: Cross multiply
    221,710.50x = 502,608.38 × 502,608.38
  4. Step 4: Simplify right side
    221,710.50x = 252,615,178,620.14
  5. Step 5: Solve for x
    x = 252,615,178,620.14/221,710.50
  6. Step 6: Final answer
    x = 1,139,392.04

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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.