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Finding the Third Proportional to 417,706 and 672,568

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Solution

The third proportional to 417,706 and 672,568 is: 1,082,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,706 : 672,568 = 672,568 : x
  2. Step 2: Convert to fraction form
    417,706/672,568 = 672,568/x
  3. Step 3: Cross multiply
    417,706x = 672,568 × 672,568
  4. Step 4: Simplify right side
    417,706x = 452,347,714,624
  5. Step 5: Solve for x
    x = 452,347,714,624/417,706
  6. Step 6: Final answer
    x = 1,082,933.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.