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Finding the Third Proportional to 224,475.38 and 484,559.25

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Solution

The third proportional to 224,475.38 and 484,559.25 is: 1,045,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,475.38 : 484,559.25 = 484,559.25 : x
  2. Step 2: Convert to fraction form
    224,475.38/484,559.25 = 484,559.25/x
  3. Step 3: Cross multiply
    224,475.38x = 484,559.25 × 484,559.25
  4. Step 4: Simplify right side
    224,475.38x = 234,797,666,760.56
  5. Step 5: Solve for x
    x = 234,797,666,760.56/224,475.38
  6. Step 6: Final answer
    x = 1,045,984.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.