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Finding the Third Proportional to 471,915 and 707,923

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Solution

The third proportional to 471,915 and 707,923 is: 1,061,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,915 : 707,923 = 707,923 : x
  2. Step 2: Convert to fraction form
    471,915/707,923 = 707,923/x
  3. Step 3: Cross multiply
    471,915x = 707,923 × 707,923
  4. Step 4: Simplify right side
    471,915x = 501,154,973,929
  5. Step 5: Solve for x
    x = 501,154,973,929/471,915
  6. Step 6: Final answer
    x = 1,061,960.26

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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.