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Finding the Third Proportional to 274,483 and 587,018

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Solution

The third proportional to 274,483 and 587,018 is: 1,255,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,483 : 587,018 = 587,018 : x
  2. Step 2: Convert to fraction form
    274,483/587,018 = 587,018/x
  3. Step 3: Cross multiply
    274,483x = 587,018 × 587,018
  4. Step 4: Simplify right side
    274,483x = 344,590,132,324
  5. Step 5: Solve for x
    x = 344,590,132,324/274,483
  6. Step 6: Final answer
    x = 1,255,415.21

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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.