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Finding the Third Proportional to 215,254 and 469,849

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Solution

The third proportional to 215,254 and 469,849 is: 1,025,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,254 : 469,849 = 469,849 : x
  2. Step 2: Convert to fraction form
    215,254/469,849 = 469,849/x
  3. Step 3: Cross multiply
    215,254x = 469,849 × 469,849
  4. Step 4: Simplify right side
    215,254x = 220,758,082,801
  5. Step 5: Solve for x
    x = 220,758,082,801/215,254
  6. Step 6: Final answer
    x = 1,025,570.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.