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Finding the Third Proportional to 224,577 and 486,936

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Solution

The third proportional to 224,577 and 486,936 is: 1,055,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,577 : 486,936 = 486,936 : x
  2. Step 2: Convert to fraction form
    224,577/486,936 = 486,936/x
  3. Step 3: Cross multiply
    224,577x = 486,936 × 486,936
  4. Step 4: Simplify right side
    224,577x = 237,106,668,096
  5. Step 5: Solve for x
    x = 237,106,668,096/224,577
  6. Step 6: Final answer
    x = 1,055,792.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.