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Finding the Third Proportional to 436,705.88 and 694,425.38

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Solution

The third proportional to 436,705.88 and 694,425.38 is: 1,104,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,705.88 : 694,425.38 = 694,425.38 : x
  2. Step 2: Convert to fraction form
    436,705.88/694,425.38 = 694,425.38/x
  3. Step 3: Cross multiply
    436,705.88x = 694,425.38 × 694,425.38
  4. Step 4: Simplify right side
    436,705.88x = 482,226,601,443.89
  5. Step 5: Solve for x
    x = 482,226,601,443.89/436,705.88
  6. Step 6: Final answer
    x = 1,104,236.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.