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Finding the Third Proportional to 402,916 and 593,238

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Solution

The third proportional to 402,916 and 593,238 is: 873,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,916 : 593,238 = 593,238 : x
  2. Step 2: Convert to fraction form
    402,916/593,238 = 593,238/x
  3. Step 3: Cross multiply
    402,916x = 593,238 × 593,238
  4. Step 4: Simplify right side
    402,916x = 351,931,324,644
  5. Step 5: Solve for x
    x = 351,931,324,644/402,916
  6. Step 6: Final answer
    x = 873,460.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.