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Finding the Third Proportional to 224,391 and 491,019

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Solution

The third proportional to 224,391 and 491,019 is: 1,074,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,391 : 491,019 = 491,019 : x
  2. Step 2: Convert to fraction form
    224,391/491,019 = 491,019/x
  3. Step 3: Cross multiply
    224,391x = 491,019 × 491,019
  4. Step 4: Simplify right side
    224,391x = 241,099,658,361
  5. Step 5: Solve for x
    x = 241,099,658,361/224,391
  6. Step 6: Final answer
    x = 1,074,462.25

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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.