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Finding the Third Proportional to 224,349 and 474,024

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Solution

The third proportional to 224,349 and 474,024 is: 1,001,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,349 : 474,024 = 474,024 : x
  2. Step 2: Convert to fraction form
    224,349/474,024 = 474,024/x
  3. Step 3: Cross multiply
    224,349x = 474,024 × 474,024
  4. Step 4: Simplify right side
    224,349x = 224,698,752,576
  5. Step 5: Solve for x
    x = 224,698,752,576/224,349
  6. Step 6: Final answer
    x = 1,001,558.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.