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Finding the Third Proportional to 366,338 and 799,852

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Solution

The third proportional to 366,338 and 799,852 is: 1,746,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,338 : 799,852 = 799,852 : x
  2. Step 2: Convert to fraction form
    366,338/799,852 = 799,852/x
  3. Step 3: Cross multiply
    366,338x = 799,852 × 799,852
  4. Step 4: Simplify right side
    366,338x = 639,763,221,904
  5. Step 5: Solve for x
    x = 639,763,221,904/366,338
  6. Step 6: Final answer
    x = 1,746,374.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.