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Finding the Third Proportional to 279,543 and 614,004

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Solution

The third proportional to 279,543 and 614,004 is: 1,348,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,543 : 614,004 = 614,004 : x
  2. Step 2: Convert to fraction form
    279,543/614,004 = 614,004/x
  3. Step 3: Cross multiply
    279,543x = 614,004 × 614,004
  4. Step 4: Simplify right side
    279,543x = 377,000,912,016
  5. Step 5: Solve for x
    x = 377,000,912,016/279,543
  6. Step 6: Final answer
    x = 1,348,632.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.