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Finding the Third Proportional to 223,822 and 483,390

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Solution

The third proportional to 223,822 and 483,390 is: 1,043,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,822 : 483,390 = 483,390 : x
  2. Step 2: Convert to fraction form
    223,822/483,390 = 483,390/x
  3. Step 3: Cross multiply
    223,822x = 483,390 × 483,390
  4. Step 4: Simplify right side
    223,822x = 233,665,892,100
  5. Step 5: Solve for x
    x = 233,665,892,100/223,822
  6. Step 6: Final answer
    x = 1,043,980.90

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