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Finding the Third Proportional to 228,642 and 501,552

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Solution

The third proportional to 228,642 and 501,552 is: 1,100,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,642 : 501,552 = 501,552 : x
  2. Step 2: Convert to fraction form
    228,642/501,552 = 501,552/x
  3. Step 3: Cross multiply
    228,642x = 501,552 × 501,552
  4. Step 4: Simplify right side
    228,642x = 251,554,408,704
  5. Step 5: Solve for x
    x = 251,554,408,704/228,642
  6. Step 6: Final answer
    x = 1,100,210.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.