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Finding the Third Proportional to 436,665 and 694,365

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Solution

The third proportional to 436,665 and 694,365 is: 1,104,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,665 : 694,365 = 694,365 : x
  2. Step 2: Convert to fraction form
    436,665/694,365 = 694,365/x
  3. Step 3: Cross multiply
    436,665x = 694,365 × 694,365
  4. Step 4: Simplify right side
    436,665x = 482,142,753,225
  5. Step 5: Solve for x
    x = 482,142,753,225/436,665
  6. Step 6: Final answer
    x = 1,104,147.92

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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.