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Finding the Third Proportional to 275,580 and 590,524

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Solution

The third proportional to 275,580 and 590,524 is: 1,265,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,580 : 590,524 = 590,524 : x
  2. Step 2: Convert to fraction form
    275,580/590,524 = 590,524/x
  3. Step 3: Cross multiply
    275,580x = 590,524 × 590,524
  4. Step 4: Simplify right side
    275,580x = 348,718,594,576
  5. Step 5: Solve for x
    x = 348,718,594,576/275,580
  6. Step 6: Final answer
    x = 1,265,398.78

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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.