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Finding the Third Proportional to 436,838 and 694,602

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Solution

The third proportional to 436,838 and 694,602 is: 1,104,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,838 : 694,602 = 694,602 : x
  2. Step 2: Convert to fraction form
    436,838/694,602 = 694,602/x
  3. Step 3: Cross multiply
    436,838x = 694,602 × 694,602
  4. Step 4: Simplify right side
    436,838x = 482,471,938,404
  5. Step 5: Solve for x
    x = 482,471,938,404/436,838
  6. Step 6: Final answer
    x = 1,104,464.21

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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.