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Finding the Third Proportional to 272,018 and 587,830

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Solution

The third proportional to 272,018 and 587,830 is: 1,270,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,018 : 587,830 = 587,830 : x
  2. Step 2: Convert to fraction form
    272,018/587,830 = 587,830/x
  3. Step 3: Cross multiply
    272,018x = 587,830 × 587,830
  4. Step 4: Simplify right side
    272,018x = 345,544,108,900
  5. Step 5: Solve for x
    x = 345,544,108,900/272,018
  6. Step 6: Final answer
    x = 1,270,298.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.