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Finding the Third Proportional to 224,391 and 491,007

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Solution

The third proportional to 224,391 and 491,007 is: 1,074,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,391 : 491,007 = 491,007 : x
  2. Step 2: Convert to fraction form
    224,391/491,007 = 491,007/x
  3. Step 3: Cross multiply
    224,391x = 491,007 × 491,007
  4. Step 4: Simplify right side
    224,391x = 241,087,874,049
  5. Step 5: Solve for x
    x = 241,087,874,049/224,391
  6. Step 6: Final answer
    x = 1,074,409.73

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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.