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Finding the Third Proportional to 382,677.75 and 835,293.94

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Solution

The third proportional to 382,677.75 and 835,293.94 is: 1,823,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,677.75 : 835,293.94 = 835,293.94 : x
  2. Step 2: Convert to fraction form
    382,677.75/835,293.94 = 835,293.94/x
  3. Step 3: Cross multiply
    382,677.75x = 835,293.94 × 835,293.94
  4. Step 4: Simplify right side
    382,677.75x = 697,715,962,024.25
  5. Step 5: Solve for x
    x = 697,715,962,024.25/382,677.75
  6. Step 6: Final answer
    x = 1,823,246.74

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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.