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Finding the Third Proportional to 224,579.50 and 486,543.88

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Solution

The third proportional to 224,579.50 and 486,543.88 is: 1,054,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,579.50 : 486,543.88 = 486,543.88 : x
  2. Step 2: Convert to fraction form
    224,579.50/486,543.88 = 486,543.88/x
  3. Step 3: Cross multiply
    224,579.50x = 486,543.88 × 486,543.88
  4. Step 4: Simplify right side
    224,579.50x = 236,724,942,300.02
  5. Step 5: Solve for x
    x = 236,724,942,300.02/224,579.50
  6. Step 6: Final answer
    x = 1,054,080.81

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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.