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Finding the Third Proportional to 295,335.81 and 445,704.08

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Solution

The third proportional to 295,335.81 and 445,704.08 is: 672,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,335.81 : 445,704.08 = 445,704.08 : x
  2. Step 2: Convert to fraction form
    295,335.81/445,704.08 = 445,704.08/x
  3. Step 3: Cross multiply
    295,335.81x = 445,704.08 × 445,704.08
  4. Step 4: Simplify right side
    295,335.81x = 198,652,128,739.32
  5. Step 5: Solve for x
    x = 198,652,128,739.32/295,335.81
  6. Step 6: Final answer
    x = 672,631.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.