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Finding the Third Proportional to 297,489.38 and 446,882.06

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Solution

The third proportional to 297,489.38 and 446,882.06 is: 671,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,489.38 : 446,882.06 = 446,882.06 : x
  2. Step 2: Convert to fraction form
    297,489.38/446,882.06 = 446,882.06/x
  3. Step 3: Cross multiply
    297,489.38x = 446,882.06 × 446,882.06
  4. Step 4: Simplify right side
    297,489.38x = 199,703,577,784.25
  5. Step 5: Solve for x
    x = 199,703,577,784.25/297,489.38
  6. Step 6: Final answer
    x = 671,296.51

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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.