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Finding the Third Proportional to 363,723 and 789,654

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Solution

The third proportional to 363,723 and 789,654 is: 1,714,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,723 : 789,654 = 789,654 : x
  2. Step 2: Convert to fraction form
    363,723/789,654 = 789,654/x
  3. Step 3: Cross multiply
    363,723x = 789,654 × 789,654
  4. Step 4: Simplify right side
    363,723x = 623,553,439,716
  5. Step 5: Solve for x
    x = 623,553,439,716/363,723
  6. Step 6: Final answer
    x = 1,714,363.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.