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Finding the Third Proportional to 231,093 and 508,842

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Solution

The third proportional to 231,093 and 508,842 is: 1,120,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,093 : 508,842 = 508,842 : x
  2. Step 2: Convert to fraction form
    231,093/508,842 = 508,842/x
  3. Step 3: Cross multiply
    231,093x = 508,842 × 508,842
  4. Step 4: Simplify right side
    231,093x = 258,920,180,964
  5. Step 5: Solve for x
    x = 258,920,180,964/231,093
  6. Step 6: Final answer
    x = 1,120,415.51

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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.