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Finding the Third Proportional to 447,393.38 and 677,595.38

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Solution

The third proportional to 447,393.38 and 677,595.38 is: 1,026,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,393.38 : 677,595.38 = 677,595.38 : x
  2. Step 2: Convert to fraction form
    447,393.38/677,595.38 = 677,595.38/x
  3. Step 3: Cross multiply
    447,393.38x = 677,595.38 × 677,595.38
  4. Step 4: Simplify right side
    447,393.38x = 459,135,492,221.39
  5. Step 5: Solve for x
    x = 459,135,492,221.39/447,393.38
  6. Step 6: Final answer
    x = 1,026,245.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.