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Finding the Third Proportional to 385,648 and 833,684

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Solution

The third proportional to 385,648 and 833,684 is: 1,802,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,648 : 833,684 = 833,684 : x
  2. Step 2: Convert to fraction form
    385,648/833,684 = 833,684/x
  3. Step 3: Cross multiply
    385,648x = 833,684 × 833,684
  4. Step 4: Simplify right side
    385,648x = 695,029,011,856
  5. Step 5: Solve for x
    x = 695,029,011,856/385,648
  6. Step 6: Final answer
    x = 1,802,236.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.