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Finding the Third Proportional to 224,220 and 483,837

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Solution

The third proportional to 224,220 and 483,837 is: 1,044,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,220 : 483,837 = 483,837 : x
  2. Step 2: Convert to fraction form
    224,220/483,837 = 483,837/x
  3. Step 3: Cross multiply
    224,220x = 483,837 × 483,837
  4. Step 4: Simplify right side
    224,220x = 234,098,242,569
  5. Step 5: Solve for x
    x = 234,098,242,569/224,220
  6. Step 6: Final answer
    x = 1,044,056.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.