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Finding the Third Proportional to 233,904.38 and 512,556.75

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Solution

The third proportional to 233,904.38 and 512,556.75 is: 1,123,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,904.38 : 512,556.75 = 512,556.75 : x
  2. Step 2: Convert to fraction form
    233,904.38/512,556.75 = 512,556.75/x
  3. Step 3: Cross multiply
    233,904.38x = 512,556.75 × 512,556.75
  4. Step 4: Simplify right side
    233,904.38x = 262,714,421,970.56
  5. Step 5: Solve for x
    x = 262,714,421,970.56/233,904.38
  6. Step 6: Final answer
    x = 1,123,170.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.