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Finding the Third Proportional to 436,633 and 694,315

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Solution

The third proportional to 436,633 and 694,315 is: 1,104,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,633 : 694,315 = 694,315 : x
  2. Step 2: Convert to fraction form
    436,633/694,315 = 694,315/x
  3. Step 3: Cross multiply
    436,633x = 694,315 × 694,315
  4. Step 4: Simplify right side
    436,633x = 482,073,319,225
  5. Step 5: Solve for x
    x = 482,073,319,225/436,633
  6. Step 6: Final answer
    x = 1,104,069.82

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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.