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Finding the Third Proportional to 224,809 and 481,594

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Solution

The third proportional to 224,809 and 481,594 is: 1,031,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,809 : 481,594 = 481,594 : x
  2. Step 2: Convert to fraction form
    224,809/481,594 = 481,594/x
  3. Step 3: Cross multiply
    224,809x = 481,594 × 481,594
  4. Step 4: Simplify right side
    224,809x = 231,932,780,836
  5. Step 5: Solve for x
    x = 231,932,780,836/224,809
  6. Step 6: Final answer
    x = 1,031,688.15

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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.