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Finding the Third Proportional to 393,179 and 593,018

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Solution

The third proportional to 393,179 and 593,018 is: 894,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,179 : 593,018 = 593,018 : x
  2. Step 2: Convert to fraction form
    393,179/593,018 = 593,018/x
  3. Step 3: Cross multiply
    393,179x = 593,018 × 593,018
  4. Step 4: Simplify right side
    393,179x = 351,670,348,324
  5. Step 5: Solve for x
    x = 351,670,348,324/393,179
  6. Step 6: Final answer
    x = 894,428.11

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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.