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Finding the Third Proportional to 394,237.13 and 857,683.69

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Solution

The third proportional to 394,237.13 and 857,683.69 is: 1,865,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,237.13 : 857,683.69 = 857,683.69 : x
  2. Step 2: Convert to fraction form
    394,237.13/857,683.69 = 857,683.69/x
  3. Step 3: Cross multiply
    394,237.13x = 857,683.69 × 857,683.69
  4. Step 4: Simplify right side
    394,237.13x = 735,621,307,803.60
  5. Step 5: Solve for x
    x = 735,621,307,803.60/394,237.13
  6. Step 6: Final answer
    x = 1,865,936.16

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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.