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Finding the Third Proportional to 224,733 and 482,817.25

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Solution

The third proportional to 224,733 and 482,817.25 is: 1,037,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,733 : 482,817.25 = 482,817.25 : x
  2. Step 2: Convert to fraction form
    224,733/482,817.25 = 482,817.25/x
  3. Step 3: Cross multiply
    224,733x = 482,817.25 × 482,817.25
  4. Step 4: Simplify right side
    224,733x = 233,112,496,897.56
  5. Step 5: Solve for x
    x = 233,112,496,897.56/224,733
  6. Step 6: Final answer
    x = 1,037,286.46

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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.