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Finding the Third Proportional to 224,570.81 and 486,546.75

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Solution

The third proportional to 224,570.81 and 486,546.75 is: 1,054,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,570.81 : 486,546.75 = 486,546.75 : x
  2. Step 2: Convert to fraction form
    224,570.81/486,546.75 = 486,546.75/x
  3. Step 3: Cross multiply
    224,570.81x = 486,546.75 × 486,546.75
  4. Step 4: Simplify right side
    224,570.81x = 236,727,739,935.56
  5. Step 5: Solve for x
    x = 236,727,739,935.56/224,570.81
  6. Step 6: Final answer
    x = 1,054,134.05

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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.