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Finding the Third Proportional to 340,384.50 and 743,089

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Solution

The third proportional to 340,384.50 and 743,089 is: 1,622,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,384.50 : 743,089 = 743,089 : x
  2. Step 2: Convert to fraction form
    340,384.50/743,089 = 743,089/x
  3. Step 3: Cross multiply
    340,384.50x = 743,089 × 743,089
  4. Step 4: Simplify right side
    340,384.50x = 552,181,261,921
  5. Step 5: Solve for x
    x = 552,181,261,921/340,384.50
  6. Step 6: Final answer
    x = 1,622,227.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.