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Finding the Third Proportional to 294,836.63 and 639,731.25

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Solution

The third proportional to 294,836.63 and 639,731.25 is: 1,388,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,836.63 : 639,731.25 = 639,731.25 : x
  2. Step 2: Convert to fraction form
    294,836.63/639,731.25 = 639,731.25/x
  3. Step 3: Cross multiply
    294,836.63x = 639,731.25 × 639,731.25
  4. Step 4: Simplify right side
    294,836.63x = 409,256,072,226.56
  5. Step 5: Solve for x
    x = 409,256,072,226.56/294,836.63
  6. Step 6: Final answer
    x = 1,388,077.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.