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Finding the Third Proportional to 302,393.25 and 635,809.50

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Solution

The third proportional to 302,393.25 and 635,809.50 is: 1,336,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,393.25 : 635,809.50 = 635,809.50 : x
  2. Step 2: Convert to fraction form
    302,393.25/635,809.50 = 635,809.50/x
  3. Step 3: Cross multiply
    302,393.25x = 635,809.50 × 635,809.50
  4. Step 4: Simplify right side
    302,393.25x = 404,253,720,290.25
  5. Step 5: Solve for x
    x = 404,253,720,290.25/302,393.25
  6. Step 6: Final answer
    x = 1,336,847.70

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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.