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Finding the Third Proportional to 472,722 and 751,707

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Solution

The third proportional to 472,722 and 751,707 is: 1,195,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,722 : 751,707 = 751,707 : x
  2. Step 2: Convert to fraction form
    472,722/751,707 = 751,707/x
  3. Step 3: Cross multiply
    472,722x = 751,707 × 751,707
  4. Step 4: Simplify right side
    472,722x = 565,063,413,849
  5. Step 5: Solve for x
    x = 565,063,413,849/472,722
  6. Step 6: Final answer
    x = 1,195,339.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.