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Finding the Third Proportional to 436,610 and 694,281

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Solution

The third proportional to 436,610 and 694,281 is: 1,104,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,610 : 694,281 = 694,281 : x
  2. Step 2: Convert to fraction form
    436,610/694,281 = 694,281/x
  3. Step 3: Cross multiply
    436,610x = 694,281 × 694,281
  4. Step 4: Simplify right side
    436,610x = 482,026,106,961
  5. Step 5: Solve for x
    x = 482,026,106,961/436,610
  6. Step 6: Final answer
    x = 1,104,019.85

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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.