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Finding the Third Proportional to 393,001 and 593,237

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Solution

The third proportional to 393,001 and 593,237 is: 895,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,001 : 593,237 = 593,237 : x
  2. Step 2: Convert to fraction form
    393,001/593,237 = 593,237/x
  3. Step 3: Cross multiply
    393,001x = 593,237 × 593,237
  4. Step 4: Simplify right side
    393,001x = 351,930,138,169
  5. Step 5: Solve for x
    x = 351,930,138,169/393,001
  6. Step 6: Final answer
    x = 895,494.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.