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Finding the Third Proportional to 369,219 and 806,775

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Solution

The third proportional to 369,219 and 806,775 is: 1,762,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,219 : 806,775 = 806,775 : x
  2. Step 2: Convert to fraction form
    369,219/806,775 = 806,775/x
  3. Step 3: Cross multiply
    369,219x = 806,775 × 806,775
  4. Step 4: Simplify right side
    369,219x = 650,885,900,625
  5. Step 5: Solve for x
    x = 650,885,900,625/369,219
  6. Step 6: Final answer
    x = 1,762,872.17

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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.