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Finding the Third Proportional to 382,184 and 809,928

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Solution

The third proportional to 382,184 and 809,928 is: 1,716,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,184 : 809,928 = 809,928 : x
  2. Step 2: Convert to fraction form
    382,184/809,928 = 809,928/x
  3. Step 3: Cross multiply
    382,184x = 809,928 × 809,928
  4. Step 4: Simplify right side
    382,184x = 655,983,365,184
  5. Step 5: Solve for x
    x = 655,983,365,184/382,184
  6. Step 6: Final answer
    x = 1,716,407.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.