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Finding the Third Proportional to 209,283.75 and 453,331.69

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Solution

The third proportional to 209,283.75 and 453,331.69 is: 981,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,283.75 : 453,331.69 = 453,331.69 : x
  2. Step 2: Convert to fraction form
    209,283.75/453,331.69 = 453,331.69/x
  3. Step 3: Cross multiply
    209,283.75x = 453,331.69 × 453,331.69
  4. Step 4: Simplify right side
    209,283.75x = 205,509,618,891.60
  5. Step 5: Solve for x
    x = 205,509,618,891.60/209,283.75
  6. Step 6: Final answer
    x = 981,966.44

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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.