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Finding the Third Proportional to 207,398 and 446,670

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Solution

The third proportional to 207,398 and 446,670 is: 961,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398 : 446,670 = 446,670 : x
  2. Step 2: Convert to fraction form
    207,398/446,670 = 446,670/x
  3. Step 3: Cross multiply
    207,398x = 446,670 × 446,670
  4. Step 4: Simplify right side
    207,398x = 199,514,088,900
  5. Step 5: Solve for x
    x = 199,514,088,900/207,398
  6. Step 6: Final answer
    x = 961,986.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.