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Finding the Third Proportional to 392,356.50 and 555,339

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Solution

The third proportional to 392,356.50 and 555,339 is: 786,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,356.50 : 555,339 = 555,339 : x
  2. Step 2: Convert to fraction form
    392,356.50/555,339 = 555,339/x
  3. Step 3: Cross multiply
    392,356.50x = 555,339 × 555,339
  4. Step 4: Simplify right side
    392,356.50x = 308,401,404,921
  5. Step 5: Solve for x
    x = 308,401,404,921/392,356.50
  6. Step 6: Final answer
    x = 786,023.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.