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Finding the Third Proportional to 252,099 and 531,738

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Solution

The third proportional to 252,099 and 531,738 is: 1,121,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,099 : 531,738 = 531,738 : x
  2. Step 2: Convert to fraction form
    252,099/531,738 = 531,738/x
  3. Step 3: Cross multiply
    252,099x = 531,738 × 531,738
  4. Step 4: Simplify right side
    252,099x = 282,745,300,644
  5. Step 5: Solve for x
    x = 282,745,300,644/252,099
  6. Step 6: Final answer
    x = 1,121,564.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.