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Finding the Third Proportional to 224,742.50 and 482,836.50

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Solution

The third proportional to 224,742.50 and 482,836.50 is: 1,037,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,742.50 : 482,836.50 = 482,836.50 : x
  2. Step 2: Convert to fraction form
    224,742.50/482,836.50 = 482,836.50/x
  3. Step 3: Cross multiply
    224,742.50x = 482,836.50 × 482,836.50
  4. Step 4: Simplify right side
    224,742.50x = 233,131,085,732.25
  5. Step 5: Solve for x
    x = 233,131,085,732.25/224,742.50
  6. Step 6: Final answer
    x = 1,037,325.32

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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.