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Finding the Third Proportional to 214,943 and 505,578

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Solution

The third proportional to 214,943 and 505,578 is: 1,189,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,943 : 505,578 = 505,578 : x
  2. Step 2: Convert to fraction form
    214,943/505,578 = 505,578/x
  3. Step 3: Cross multiply
    214,943x = 505,578 × 505,578
  4. Step 4: Simplify right side
    214,943x = 255,609,114,084
  5. Step 5: Solve for x
    x = 255,609,114,084/214,943
  6. Step 6: Final answer
    x = 1,189,194.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.