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Finding the Third Proportional to 224,394 and 491,025

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Solution

The third proportional to 224,394 and 491,025 is: 1,074,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,394 : 491,025 = 491,025 : x
  2. Step 2: Convert to fraction form
    224,394/491,025 = 491,025/x
  3. Step 3: Cross multiply
    224,394x = 491,025 × 491,025
  4. Step 4: Simplify right side
    224,394x = 241,105,550,625
  5. Step 5: Solve for x
    x = 241,105,550,625/224,394
  6. Step 6: Final answer
    x = 1,074,474.14

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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.