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Finding the Third Proportional to 270,245 and 420,677

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Solution

The third proportional to 270,245 and 420,677 is: 654,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,245 : 420,677 = 420,677 : x
  2. Step 2: Convert to fraction form
    270,245/420,677 = 420,677/x
  3. Step 3: Cross multiply
    270,245x = 420,677 × 420,677
  4. Step 4: Simplify right side
    270,245x = 176,969,138,329
  5. Step 5: Solve for x
    x = 176,969,138,329/270,245
  6. Step 6: Final answer
    x = 654,847.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.