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Finding the Third Proportional to 224,740 and 482,833

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Solution

The third proportional to 224,740 and 482,833 is: 1,037,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,740 : 482,833 = 482,833 : x
  2. Step 2: Convert to fraction form
    224,740/482,833 = 482,833/x
  3. Step 3: Cross multiply
    224,740x = 482,833 × 482,833
  4. Step 4: Simplify right side
    224,740x = 233,127,705,889
  5. Step 5: Solve for x
    x = 233,127,705,889/224,740
  6. Step 6: Final answer
    x = 1,037,321.82

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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.