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Finding the Third Proportional to 292,616 and 629,624

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Solution

The third proportional to 292,616 and 629,624 is: 1,354,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,616 : 629,624 = 629,624 : x
  2. Step 2: Convert to fraction form
    292,616/629,624 = 629,624/x
  3. Step 3: Cross multiply
    292,616x = 629,624 × 629,624
  4. Step 4: Simplify right side
    292,616x = 396,426,381,376
  5. Step 5: Solve for x
    x = 396,426,381,376/292,616
  6. Step 6: Final answer
    x = 1,354,766.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.