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Finding the Third Proportional to 275,601 and 590,566.50

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Solution

The third proportional to 275,601 and 590,566.50 is: 1,265,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,601 : 590,566.50 = 590,566.50 : x
  2. Step 2: Convert to fraction form
    275,601/590,566.50 = 590,566.50/x
  3. Step 3: Cross multiply
    275,601x = 590,566.50 × 590,566.50
  4. Step 4: Simplify right side
    275,601x = 348,768,790,922.25
  5. Step 5: Solve for x
    x = 348,768,790,922.25/275,601
  6. Step 6: Final answer
    x = 1,265,484.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.