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Finding the Third Proportional to 270,416.25 and 391,682.25

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Solution

The third proportional to 270,416.25 and 391,682.25 is: 567,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,416.25 : 391,682.25 = 391,682.25 : x
  2. Step 2: Convert to fraction form
    270,416.25/391,682.25 = 391,682.25/x
  3. Step 3: Cross multiply
    270,416.25x = 391,682.25 × 391,682.25
  4. Step 4: Simplify right side
    270,416.25x = 153,414,984,965.06
  5. Step 5: Solve for x
    x = 153,414,984,965.06/270,416.25
  6. Step 6: Final answer
    x = 567,329.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.