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Finding the Third Proportional to 203,694 and 425,964

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Solution

The third proportional to 203,694 and 425,964 is: 890,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,694 : 425,964 = 425,964 : x
  2. Step 2: Convert to fraction form
    203,694/425,964 = 425,964/x
  3. Step 3: Cross multiply
    203,694x = 425,964 × 425,964
  4. Step 4: Simplify right side
    203,694x = 181,445,329,296
  5. Step 5: Solve for x
    x = 181,445,329,296/203,694
  6. Step 6: Final answer
    x = 890,774.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.