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Finding the Third Proportional to 436,653 and 694,347

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Solution

The third proportional to 436,653 and 694,347 is: 1,104,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,653 : 694,347 = 694,347 : x
  2. Step 2: Convert to fraction form
    436,653/694,347 = 694,347/x
  3. Step 3: Cross multiply
    436,653x = 694,347 × 694,347
  4. Step 4: Simplify right side
    436,653x = 482,117,756,409
  5. Step 5: Solve for x
    x = 482,117,756,409/436,653
  6. Step 6: Final answer
    x = 1,104,121.02

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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.