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Finding the Third Proportional to 228,632 and 501,532

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Solution

The third proportional to 228,632 and 501,532 is: 1,100,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,632 : 501,532 = 501,532 : x
  2. Step 2: Convert to fraction form
    228,632/501,532 = 501,532/x
  3. Step 3: Cross multiply
    228,632x = 501,532 × 501,532
  4. Step 4: Simplify right side
    228,632x = 251,534,347,024
  5. Step 5: Solve for x
    x = 251,534,347,024/228,632
  6. Step 6: Final answer
    x = 1,100,171.22

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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.