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Finding the Third Proportional to 240,748.50 and 512,601

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Solution

The third proportional to 240,748.50 and 512,601 is: 1,091,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,748.50 : 512,601 = 512,601 : x
  2. Step 2: Convert to fraction form
    240,748.50/512,601 = 512,601/x
  3. Step 3: Cross multiply
    240,748.50x = 512,601 × 512,601
  4. Step 4: Simplify right side
    240,748.50x = 262,759,785,201
  5. Step 5: Solve for x
    x = 262,759,785,201/240,748.50
  6. Step 6: Final answer
    x = 1,091,428.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.