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Finding the Third Proportional to 275,575 and 590,517

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Solution

The third proportional to 275,575 and 590,517 is: 1,265,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,575 : 590,517 = 590,517 : x
  2. Step 2: Convert to fraction form
    275,575/590,517 = 590,517/x
  3. Step 3: Cross multiply
    275,575x = 590,517 × 590,517
  4. Step 4: Simplify right side
    275,575x = 348,710,327,289
  5. Step 5: Solve for x
    x = 348,710,327,289/275,575
  6. Step 6: Final answer
    x = 1,265,391.73

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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.