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Finding the Third Proportional to 214,435.48 and 462,084.75

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Solution

The third proportional to 214,435.48 and 462,084.75 is: 995,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,435.48 : 462,084.75 = 462,084.75 : x
  2. Step 2: Convert to fraction form
    214,435.48/462,084.75 = 462,084.75/x
  3. Step 3: Cross multiply
    214,435.48x = 462,084.75 × 462,084.75
  4. Step 4: Simplify right side
    214,435.48x = 213,522,316,182.56
  5. Step 5: Solve for x
    x = 213,522,316,182.56/214,435.48
  6. Step 6: Final answer
    x = 995,741.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.