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Finding the Third Proportional to 220,996 and 483,787

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Solution

The third proportional to 220,996 and 483,787 is: 1,059,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,996 : 483,787 = 483,787 : x
  2. Step 2: Convert to fraction form
    220,996/483,787 = 483,787/x
  3. Step 3: Cross multiply
    220,996x = 483,787 × 483,787
  4. Step 4: Simplify right side
    220,996x = 234,049,861,369
  5. Step 5: Solve for x
    x = 234,049,861,369/220,996
  6. Step 6: Final answer
    x = 1,059,068.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.