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Finding the Third Proportional to 224,775 and 481,432.36

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Solution

The third proportional to 224,775 and 481,432.36 is: 1,031,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,775 : 481,432.36 = 481,432.36 : x
  2. Step 2: Convert to fraction form
    224,775/481,432.36 = 481,432.36/x
  3. Step 3: Cross multiply
    224,775x = 481,432.36 × 481,432.36
  4. Step 4: Simplify right side
    224,775x = 231,777,116,653.38
  5. Step 5: Solve for x
    x = 231,777,116,653.38/224,775
  6. Step 6: Final answer
    x = 1,031,151.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.