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Finding the Third Proportional to 393,012 and 592,824

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Solution

The third proportional to 393,012 and 592,824 is: 894,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,012 : 592,824 = 592,824 : x
  2. Step 2: Convert to fraction form
    393,012/592,824 = 592,824/x
  3. Step 3: Cross multiply
    393,012x = 592,824 × 592,824
  4. Step 4: Simplify right side
    393,012x = 351,440,294,976
  5. Step 5: Solve for x
    x = 351,440,294,976/393,012
  6. Step 6: Final answer
    x = 894,222.81

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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.