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Finding the Third Proportional to 224,708.55 and 483,671.57

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Solution

The third proportional to 224,708.55 and 483,671.57 is: 1,041,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,708.55 : 483,671.57 = 483,671.57 : x
  2. Step 2: Convert to fraction form
    224,708.55/483,671.57 = 483,671.57/x
  3. Step 3: Cross multiply
    224,708.55x = 483,671.57 × 483,671.57
  4. Step 4: Simplify right side
    224,708.55x = 233,938,184,149.88
  5. Step 5: Solve for x
    x = 233,938,184,149.88/224,708.55
  6. Step 6: Final answer
    x = 1,041,073.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.