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Finding the Third Proportional to 215,595.25 and 453,532.50

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Solution

The third proportional to 215,595.25 and 453,532.50 is: 954,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,595.25 : 453,532.50 = 453,532.50 : x
  2. Step 2: Convert to fraction form
    215,595.25/453,532.50 = 453,532.50/x
  3. Step 3: Cross multiply
    215,595.25x = 453,532.50 × 453,532.50
  4. Step 4: Simplify right side
    215,595.25x = 205,691,728,556.25
  5. Step 5: Solve for x
    x = 205,691,728,556.25/215,595.25
  6. Step 6: Final answer
    x = 954,064.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.