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Finding the Third Proportional to 224,737 and 482,828

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Solution

The third proportional to 224,737 and 482,828 is: 1,037,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,737 : 482,828 = 482,828 : x
  2. Step 2: Convert to fraction form
    224,737/482,828 = 482,828/x
  3. Step 3: Cross multiply
    224,737x = 482,828 × 482,828
  4. Step 4: Simplify right side
    224,737x = 233,122,877,584
  5. Step 5: Solve for x
    x = 233,122,877,584/224,737
  6. Step 6: Final answer
    x = 1,037,314.18

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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.