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Finding the Third Proportional to 214,849 and 472,597

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Solution

The third proportional to 214,849 and 472,597 is: 1,039,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,849 : 472,597 = 472,597 : x
  2. Step 2: Convert to fraction form
    214,849/472,597 = 472,597/x
  3. Step 3: Cross multiply
    214,849x = 472,597 × 472,597
  4. Step 4: Simplify right side
    214,849x = 223,347,924,409
  5. Step 5: Solve for x
    x = 223,347,924,409/214,849
  6. Step 6: Final answer
    x = 1,039,557.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.