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Finding the Third Proportional to 211,683.38 and 452,481.19

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Solution

The third proportional to 211,683.38 and 452,481.19 is: 967,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,683.38 : 452,481.19 = 452,481.19 : x
  2. Step 2: Convert to fraction form
    211,683.38/452,481.19 = 452,481.19/x
  3. Step 3: Cross multiply
    211,683.38x = 452,481.19 × 452,481.19
  4. Step 4: Simplify right side
    211,683.38x = 204,739,225,041.41
  5. Step 5: Solve for x
    x = 204,739,225,041.41/211,683.38
  6. Step 6: Final answer
    x = 967,195.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.