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Finding the Third Proportional to 234,207 and 503,934.75

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Solution

The third proportional to 234,207 and 503,934.75 is: 1,084,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,207 : 503,934.75 = 503,934.75 : x
  2. Step 2: Convert to fraction form
    234,207/503,934.75 = 503,934.75/x
  3. Step 3: Cross multiply
    234,207x = 503,934.75 × 503,934.75
  4. Step 4: Simplify right side
    234,207x = 253,950,232,257.56
  5. Step 5: Solve for x
    x = 253,950,232,257.56/234,207
  6. Step 6: Final answer
    x = 1,084,298.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.