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Finding the Third Proportional to 211,683.38 and 456,604.59

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Solution

The third proportional to 211,683.38 and 456,604.59 is: 984,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,683.38 : 456,604.59 = 456,604.59 : x
  2. Step 2: Convert to fraction form
    211,683.38/456,604.59 = 456,604.59/x
  3. Step 3: Cross multiply
    211,683.38x = 456,604.59 × 456,604.59
  4. Step 4: Simplify right side
    211,683.38x = 208,487,755,033.60
  5. Step 5: Solve for x
    x = 208,487,755,033.60/211,683.38
  6. Step 6: Final answer
    x = 984,903.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.