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Finding the Third Proportional to 344,412.50 and 741,601

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Solution

The third proportional to 344,412.50 and 741,601 is: 1,596,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,412.50 : 741,601 = 741,601 : x
  2. Step 2: Convert to fraction form
    344,412.50/741,601 = 741,601/x
  3. Step 3: Cross multiply
    344,412.50x = 741,601 × 741,601
  4. Step 4: Simplify right side
    344,412.50x = 549,972,043,201
  5. Step 5: Solve for x
    x = 549,972,043,201/344,412.50
  6. Step 6: Final answer
    x = 1,596,841.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.