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Finding the Third Proportional to 243,679.50 and 389,389.50

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Solution

The third proportional to 243,679.50 and 389,389.50 is: 622,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,679.50 : 389,389.50 = 389,389.50 : x
  2. Step 2: Convert to fraction form
    243,679.50/389,389.50 = 389,389.50/x
  3. Step 3: Cross multiply
    243,679.50x = 389,389.50 × 389,389.50
  4. Step 4: Simplify right side
    243,679.50x = 151,624,182,710.25
  5. Step 5: Solve for x
    x = 151,624,182,710.25/243,679.50
  6. Step 6: Final answer
    x = 622,227.90

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.