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Finding the Third Proportional to 207,914 and 450,793

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Solution

The third proportional to 207,914 and 450,793 is: 977,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,914 : 450,793 = 450,793 : x
  2. Step 2: Convert to fraction form
    207,914/450,793 = 450,793/x
  3. Step 3: Cross multiply
    207,914x = 450,793 × 450,793
  4. Step 4: Simplify right side
    207,914x = 203,214,328,849
  5. Step 5: Solve for x
    x = 203,214,328,849/207,914
  6. Step 6: Final answer
    x = 977,396.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.