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Finding the Third Proportional to 402,936 and 593,268

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Solution

The third proportional to 402,936 and 593,268 is: 873,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,936 : 593,268 = 593,268 : x
  2. Step 2: Convert to fraction form
    402,936/593,268 = 593,268/x
  3. Step 3: Cross multiply
    402,936x = 593,268 × 593,268
  4. Step 4: Simplify right side
    402,936x = 351,966,919,824
  5. Step 5: Solve for x
    x = 351,966,919,824/402,936
  6. Step 6: Final answer
    x = 873,505.77

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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.