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Finding the Third Proportional to 214,632.56 and 466,169.06

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Solution

The third proportional to 214,632.56 and 466,169.06 is: 1,012,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,632.56 : 466,169.06 = 466,169.06 : x
  2. Step 2: Convert to fraction form
    214,632.56/466,169.06 = 466,169.06/x
  3. Step 3: Cross multiply
    214,632.56x = 466,169.06 × 466,169.06
  4. Step 4: Simplify right side
    214,632.56x = 217,313,594,832.13
  5. Step 5: Solve for x
    x = 217,313,594,832.13/214,632.56
  6. Step 6: Final answer
    x = 1,012,491.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.