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Finding the Third Proportional to 297,744 and 446,670

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Solution

The third proportional to 297,744 and 446,670 is: 670,086.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,744 : 446,670 = 446,670 : x
  2. Step 2: Convert to fraction form
    297,744/446,670 = 446,670/x
  3. Step 3: Cross multiply
    297,744x = 446,670 × 446,670
  4. Step 4: Simplify right side
    297,744x = 199,514,088,900
  5. Step 5: Solve for x
    x = 199,514,088,900/297,744
  6. Step 6: Final answer
    x = 670,086.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.