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Finding the Third Proportional to 406,737 and 776,568

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Solution

The third proportional to 406,737 and 776,568 is: 1,482,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,737 : 776,568 = 776,568 : x
  2. Step 2: Convert to fraction form
    406,737/776,568 = 776,568/x
  3. Step 3: Cross multiply
    406,737x = 776,568 × 776,568
  4. Step 4: Simplify right side
    406,737x = 603,057,858,624
  5. Step 5: Solve for x
    x = 603,057,858,624/406,737
  6. Step 6: Final answer
    x = 1,482,672.73

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.