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Finding the Third Proportional to 275,940 and 571,644

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Solution

The third proportional to 275,940 and 571,644 is: 1,184,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,940 : 571,644 = 571,644 : x
  2. Step 2: Convert to fraction form
    275,940/571,644 = 571,644/x
  3. Step 3: Cross multiply
    275,940x = 571,644 × 571,644
  4. Step 4: Simplify right side
    275,940x = 326,776,862,736
  5. Step 5: Solve for x
    x = 326,776,862,736/275,940
  6. Step 6: Final answer
    x = 1,184,231.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.