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Finding the Third Proportional to 223,817 and 483,380

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Solution

The third proportional to 223,817 and 483,380 is: 1,043,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,817 : 483,380 = 483,380 : x
  2. Step 2: Convert to fraction form
    223,817/483,380 = 483,380/x
  3. Step 3: Cross multiply
    223,817x = 483,380 × 483,380
  4. Step 4: Simplify right side
    223,817x = 233,656,224,400
  5. Step 5: Solve for x
    x = 233,656,224,400/223,817
  6. Step 6: Final answer
    x = 1,043,961.02

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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.