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Finding the Third Proportional to 291,212.50 and 636,305

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Solution

The third proportional to 291,212.50 and 636,305 is: 1,390,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,212.50 : 636,305 = 636,305 : x
  2. Step 2: Convert to fraction form
    291,212.50/636,305 = 636,305/x
  3. Step 3: Cross multiply
    291,212.50x = 636,305 × 636,305
  4. Step 4: Simplify right side
    291,212.50x = 404,884,053,025
  5. Step 5: Solve for x
    x = 404,884,053,025/291,212.50
  6. Step 6: Final answer
    x = 1,390,338.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.