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Finding the Third Proportional to 237,897 and 512,932.50

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Solution

The third proportional to 237,897 and 512,932.50 is: 1,105,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,897 : 512,932.50 = 512,932.50 : x
  2. Step 2: Convert to fraction form
    237,897/512,932.50 = 512,932.50/x
  3. Step 3: Cross multiply
    237,897x = 512,932.50 × 512,932.50
  4. Step 4: Simplify right side
    237,897x = 263,099,749,556.25
  5. Step 5: Solve for x
    x = 263,099,749,556.25/237,897
  6. Step 6: Final answer
    x = 1,105,939.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.