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Finding the Third Proportional to 220,827 and 476,646

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Solution

The third proportional to 220,827 and 476,646 is: 1,028,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,827 : 476,646 = 476,646 : x
  2. Step 2: Convert to fraction form
    220,827/476,646 = 476,646/x
  3. Step 3: Cross multiply
    220,827x = 476,646 × 476,646
  4. Step 4: Simplify right side
    220,827x = 227,191,409,316
  5. Step 5: Solve for x
    x = 227,191,409,316/220,827
  6. Step 6: Final answer
    x = 1,028,820.79

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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.