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Finding the Third Proportional to 350,074 and 543,111

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Solution

The third proportional to 350,074 and 543,111 is: 842,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,074 : 543,111 = 543,111 : x
  2. Step 2: Convert to fraction form
    350,074/543,111 = 543,111/x
  3. Step 3: Cross multiply
    350,074x = 543,111 × 543,111
  4. Step 4: Simplify right side
    350,074x = 294,969,558,321
  5. Step 5: Solve for x
    x = 294,969,558,321/350,074
  6. Step 6: Final answer
    x = 842,592.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.