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Finding the Third Proportional to 309,963.38 and 446,451.75

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Solution

The third proportional to 309,963.38 and 446,451.75 is: 643,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,963.38 : 446,451.75 = 446,451.75 : x
  2. Step 2: Convert to fraction form
    309,963.38/446,451.75 = 446,451.75/x
  3. Step 3: Cross multiply
    309,963.38x = 446,451.75 × 446,451.75
  4. Step 4: Simplify right side
    309,963.38x = 199,319,165,078.06
  5. Step 5: Solve for x
    x = 199,319,165,078.06/309,963.38
  6. Step 6: Final answer
    x = 643,041.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.