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Finding the Third Proportional to 232,814 and 508,274

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Solution

The third proportional to 232,814 and 508,274 is: 1,109,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,814 : 508,274 = 508,274 : x
  2. Step 2: Convert to fraction form
    232,814/508,274 = 508,274/x
  3. Step 3: Cross multiply
    232,814x = 508,274 × 508,274
  4. Step 4: Simplify right side
    232,814x = 258,342,459,076
  5. Step 5: Solve for x
    x = 258,342,459,076/232,814
  6. Step 6: Final answer
    x = 1,109,651.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.