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Finding the Third Proportional to 233,799.75 and 503,664.75

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Solution

The third proportional to 233,799.75 and 503,664.75 is: 1,085,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,799.75 : 503,664.75 = 503,664.75 : x
  2. Step 2: Convert to fraction form
    233,799.75/503,664.75 = 503,664.75/x
  3. Step 3: Cross multiply
    233,799.75x = 503,664.75 × 503,664.75
  4. Step 4: Simplify right side
    233,799.75x = 253,678,180,392.56
  5. Step 5: Solve for x
    x = 253,678,180,392.56/233,799.75
  6. Step 6: Final answer
    x = 1,085,023.32

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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.