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Finding the Third Proportional to 228,098 and 501,988

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Solution

The third proportional to 228,098 and 501,988 is: 1,104,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098 : 501,988 = 501,988 : x
  2. Step 2: Convert to fraction form
    228,098/501,988 = 501,988/x
  3. Step 3: Cross multiply
    228,098x = 501,988 × 501,988
  4. Step 4: Simplify right side
    228,098x = 251,991,952,144
  5. Step 5: Solve for x
    x = 251,991,952,144/228,098
  6. Step 6: Final answer
    x = 1,104,753.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.