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Finding the Third Proportional to 340,105.50 and 741,440.25

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Solution

The third proportional to 340,105.50 and 741,440.25 is: 1,616,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,105.50 : 741,440.25 = 741,440.25 : x
  2. Step 2: Convert to fraction form
    340,105.50/741,440.25 = 741,440.25/x
  3. Step 3: Cross multiply
    340,105.50x = 741,440.25 × 741,440.25
  4. Step 4: Simplify right side
    340,105.50x = 549,733,644,320.06
  5. Step 5: Solve for x
    x = 549,733,644,320.06/340,105.50
  6. Step 6: Final answer
    x = 1,616,362.11

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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.