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Finding the Third Proportional to 292,723.88 and 639,029.25

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Solution

The third proportional to 292,723.88 and 639,029.25 is: 1,395,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,723.88 : 639,029.25 = 639,029.25 : x
  2. Step 2: Convert to fraction form
    292,723.88/639,029.25 = 639,029.25/x
  3. Step 3: Cross multiply
    292,723.88x = 639,029.25 × 639,029.25
  4. Step 4: Simplify right side
    292,723.88x = 408,358,382,355.56
  5. Step 5: Solve for x
    x = 408,358,382,355.56/292,723.88
  6. Step 6: Final answer
    x = 1,395,029.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.