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Finding the Third Proportional to 224,606 and 491,412

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Solution

The third proportional to 224,606 and 491,412 is: 1,075,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,606 : 491,412 = 491,412 : x
  2. Step 2: Convert to fraction form
    224,606/491,412 = 491,412/x
  3. Step 3: Cross multiply
    224,606x = 491,412 × 491,412
  4. Step 4: Simplify right side
    224,606x = 241,485,753,744
  5. Step 5: Solve for x
    x = 241,485,753,744/224,606
  6. Step 6: Final answer
    x = 1,075,152.73

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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.