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Finding the Third Proportional to 471,762 and 705,915

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Solution

The third proportional to 471,762 and 705,915 is: 1,056,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,762 : 705,915 = 705,915 : x
  2. Step 2: Convert to fraction form
    471,762/705,915 = 705,915/x
  3. Step 3: Cross multiply
    471,762x = 705,915 × 705,915
  4. Step 4: Simplify right side
    471,762x = 498,315,987,225
  5. Step 5: Solve for x
    x = 498,315,987,225/471,762
  6. Step 6: Final answer
    x = 1,056,286.83

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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.