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Finding the Third Proportional to 382,685 and 835,318

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Solution

The third proportional to 382,685 and 835,318 is: 1,823,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,685 : 835,318 = 835,318 : x
  2. Step 2: Convert to fraction form
    382,685/835,318 = 835,318/x
  3. Step 3: Cross multiply
    382,685x = 835,318 × 835,318
  4. Step 4: Simplify right side
    382,685x = 697,756,161,124
  5. Step 5: Solve for x
    x = 697,756,161,124/382,685
  6. Step 6: Final answer
    x = 1,823,317.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.