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Finding the Third Proportional to 366,902 and 749,356

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Solution

The third proportional to 366,902 and 749,356 is: 1,530,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,902 : 749,356 = 749,356 : x
  2. Step 2: Convert to fraction form
    366,902/749,356 = 749,356/x
  3. Step 3: Cross multiply
    366,902x = 749,356 × 749,356
  4. Step 4: Simplify right side
    366,902x = 561,534,414,736
  5. Step 5: Solve for x
    x = 561,534,414,736/366,902
  6. Step 6: Final answer
    x = 1,530,475.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.