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Finding the Third Proportional to 214,477.50 and 471,255

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Solution

The third proportional to 214,477.50 and 471,255 is: 1,035,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,477.50 : 471,255 = 471,255 : x
  2. Step 2: Convert to fraction form
    214,477.50/471,255 = 471,255/x
  3. Step 3: Cross multiply
    214,477.50x = 471,255 × 471,255
  4. Step 4: Simplify right side
    214,477.50x = 222,081,275,025
  5. Step 5: Solve for x
    x = 222,081,275,025/214,477.50
  6. Step 6: Final answer
    x = 1,035,452.55

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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.