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Finding the Third Proportional to 385,504.50 and 835,363.13

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Solution

The third proportional to 385,504.50 and 835,363.13 is: 1,810,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,504.50 : 835,363.13 = 835,363.13 : x
  2. Step 2: Convert to fraction form
    385,504.50/835,363.13 = 835,363.13/x
  3. Step 3: Cross multiply
    385,504.50x = 835,363.13 × 835,363.13
  4. Step 4: Simplify right side
    385,504.50x = 697,831,550,609.77
  5. Step 5: Solve for x
    x = 697,831,550,609.77/385,504.50
  6. Step 6: Final answer
    x = 1,810,177.44

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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.