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Finding the Third Proportional to 212,277.75 and 463,921.13

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Solution

The third proportional to 212,277.75 and 463,921.13 is: 1,013,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,277.75 : 463,921.13 = 463,921.13 : x
  2. Step 2: Convert to fraction form
    212,277.75/463,921.13 = 463,921.13/x
  3. Step 3: Cross multiply
    212,277.75x = 463,921.13 × 463,921.13
  4. Step 4: Simplify right side
    212,277.75x = 215,222,810,221.27
  5. Step 5: Solve for x
    x = 215,222,810,221.27/212,277.75
  6. Step 6: Final answer
    x = 1,013,873.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.