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Finding the Third Proportional to 234,969 and 503,178

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Solution

The third proportional to 234,969 and 503,178 is: 1,077,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,969 : 503,178 = 503,178 : x
  2. Step 2: Convert to fraction form
    234,969/503,178 = 503,178/x
  3. Step 3: Cross multiply
    234,969x = 503,178 × 503,178
  4. Step 4: Simplify right side
    234,969x = 253,188,099,684
  5. Step 5: Solve for x
    x = 253,188,099,684/234,969
  6. Step 6: Final answer
    x = 1,077,538.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.