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Finding the Third Proportional to 336,006 and 747,099

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Solution

The third proportional to 336,006 and 747,099 is: 1,661,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,006 : 747,099 = 747,099 : x
  2. Step 2: Convert to fraction form
    336,006/747,099 = 747,099/x
  3. Step 3: Cross multiply
    336,006x = 747,099 × 747,099
  4. Step 4: Simplify right side
    336,006x = 558,156,915,801
  5. Step 5: Solve for x
    x = 558,156,915,801/336,006
  6. Step 6: Final answer
    x = 1,661,151.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.