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Finding the Third Proportional to 366,942 and 561,352

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Solution

The third proportional to 366,942 and 561,352 is: 858,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,942 : 561,352 = 561,352 : x
  2. Step 2: Convert to fraction form
    366,942/561,352 = 561,352/x
  3. Step 3: Cross multiply
    366,942x = 561,352 × 561,352
  4. Step 4: Simplify right side
    366,942x = 315,116,067,904
  5. Step 5: Solve for x
    x = 315,116,067,904/366,942
  6. Step 6: Final answer
    x = 858,762.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.