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Finding the Third Proportional to 369,195 and 806,719

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Solution

The third proportional to 369,195 and 806,719 is: 1,762,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,195 : 806,719 = 806,719 : x
  2. Step 2: Convert to fraction form
    369,195/806,719 = 806,719/x
  3. Step 3: Cross multiply
    369,195x = 806,719 × 806,719
  4. Step 4: Simplify right side
    369,195x = 650,795,544,961
  5. Step 5: Solve for x
    x = 650,795,544,961/369,195
  6. Step 6: Final answer
    x = 1,762,742.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.