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Finding the Third Proportional to 274,399.50 and 390,042

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Solution

The third proportional to 274,399.50 and 390,042 is: 554,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,399.50 : 390,042 = 390,042 : x
  2. Step 2: Convert to fraction form
    274,399.50/390,042 = 390,042/x
  3. Step 3: Cross multiply
    274,399.50x = 390,042 × 390,042
  4. Step 4: Simplify right side
    274,399.50x = 152,132,761,764
  5. Step 5: Solve for x
    x = 152,132,761,764/274,399.50
  6. Step 6: Final answer
    x = 554,420.70

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.