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Finding the Third Proportional to 402,872 and 593,172

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Solution

The third proportional to 402,872 and 593,172 is: 873,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,872 : 593,172 = 593,172 : x
  2. Step 2: Convert to fraction form
    402,872/593,172 = 593,172/x
  3. Step 3: Cross multiply
    402,872x = 593,172 × 593,172
  4. Step 4: Simplify right side
    402,872x = 351,853,021,584
  5. Step 5: Solve for x
    x = 351,853,021,584/402,872
  6. Step 6: Final answer
    x = 873,361.82

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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.