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Finding the Third Proportional to 534,451 and 802,380

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Solution

The third proportional to 534,451 and 802,380 is: 1,204,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,451 : 802,380 = 802,380 : x
  2. Step 2: Convert to fraction form
    534,451/802,380 = 802,380/x
  3. Step 3: Cross multiply
    534,451x = 802,380 × 802,380
  4. Step 4: Simplify right side
    534,451x = 643,813,664,400
  5. Step 5: Solve for x
    x = 643,813,664,400/534,451
  6. Step 6: Final answer
    x = 1,204,626.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.