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Finding the Third Proportional to 354,540.38 and 532,058.63

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Solution

The third proportional to 354,540.38 and 532,058.63 is: 798,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,540.38 : 532,058.63 = 532,058.63 : x
  2. Step 2: Convert to fraction form
    354,540.38/532,058.63 = 532,058.63/x
  3. Step 3: Cross multiply
    354,540.38x = 532,058.63 × 532,058.63
  4. Step 4: Simplify right side
    354,540.38x = 283,086,380,436.89
  5. Step 5: Solve for x
    x = 283,086,380,436.89/354,540.38
  6. Step 6: Final answer
    x = 798,460.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.