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Finding the Third Proportional to 380,086 and 826,328

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Solution

The third proportional to 380,086 and 826,328 is: 1,796,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,086 : 826,328 = 826,328 : x
  2. Step 2: Convert to fraction form
    380,086/826,328 = 826,328/x
  3. Step 3: Cross multiply
    380,086x = 826,328 × 826,328
  4. Step 4: Simplify right side
    380,086x = 682,817,963,584
  5. Step 5: Solve for x
    x = 682,817,963,584/380,086
  6. Step 6: Final answer
    x = 1,796,482.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.