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Finding the Third Proportional to 293,546.53 and 630,519.19

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Solution

The third proportional to 293,546.53 and 630,519.19 is: 1,354,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,546.53 : 630,519.19 = 630,519.19 : x
  2. Step 2: Convert to fraction form
    293,546.53/630,519.19 = 630,519.19/x
  3. Step 3: Cross multiply
    293,546.53x = 630,519.19 × 630,519.19
  4. Step 4: Simplify right side
    293,546.53x = 397,554,445,805.66
  5. Step 5: Solve for x
    x = 397,554,445,805.66/293,546.53
  6. Step 6: Final answer
    x = 1,354,314.92

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