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Finding the Third Proportional to 224,429 and 491,774

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Solution

The third proportional to 224,429 and 491,774 is: 1,077,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,429 : 491,774 = 491,774 : x
  2. Step 2: Convert to fraction form
    224,429/491,774 = 491,774/x
  3. Step 3: Cross multiply
    224,429x = 491,774 × 491,774
  4. Step 4: Simplify right side
    224,429x = 241,841,667,076
  5. Step 5: Solve for x
    x = 241,841,667,076/224,429
  6. Step 6: Final answer
    x = 1,077,586.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.