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Finding the Third Proportional to 281,893.50 and 614,663.44

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Solution

The third proportional to 281,893.50 and 614,663.44 is: 1,340,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,893.50 : 614,663.44 = 614,663.44 : x
  2. Step 2: Convert to fraction form
    281,893.50/614,663.44 = 614,663.44/x
  3. Step 3: Cross multiply
    281,893.50x = 614,663.44 × 614,663.44
  4. Step 4: Simplify right side
    281,893.50x = 377,811,141,399.32
  5. Step 5: Solve for x
    x = 377,811,141,399.32/281,893.50
  6. Step 6: Final answer
    x = 1,340,261.98

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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.