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Finding the Third Proportional to 380,184 and 806,808

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Solution

The third proportional to 380,184 and 806,808 is: 1,712,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,184 : 806,808 = 806,808 : x
  2. Step 2: Convert to fraction form
    380,184/806,808 = 806,808/x
  3. Step 3: Cross multiply
    380,184x = 806,808 × 806,808
  4. Step 4: Simplify right side
    380,184x = 650,939,148,864
  5. Step 5: Solve for x
    x = 650,939,148,864/380,184
  6. Step 6: Final answer
    x = 1,712,168.71

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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.