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Finding the Third Proportional to 224,727.75 and 482,807.25

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Solution

The third proportional to 224,727.75 and 482,807.25 is: 1,037,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,727.75 : 482,807.25 = 482,807.25 : x
  2. Step 2: Convert to fraction form
    224,727.75/482,807.25 = 482,807.25/x
  3. Step 3: Cross multiply
    224,727.75x = 482,807.25 × 482,807.25
  4. Step 4: Simplify right side
    224,727.75x = 233,102,840,652.56
  5. Step 5: Solve for x
    x = 233,102,840,652.56/224,727.75
  6. Step 6: Final answer
    x = 1,037,267.72

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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.