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Finding the Third Proportional to 224,421 and 486,989.25

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Solution

The third proportional to 224,421 and 486,989.25 is: 1,056,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,421 : 486,989.25 = 486,989.25 : x
  2. Step 2: Convert to fraction form
    224,421/486,989.25 = 486,989.25/x
  3. Step 3: Cross multiply
    224,421x = 486,989.25 × 486,989.25
  4. Step 4: Simplify right side
    224,421x = 237,158,529,615.56
  5. Step 5: Solve for x
    x = 237,158,529,615.56/224,421
  6. Step 6: Final answer
    x = 1,056,757.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.