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Finding the Third Proportional to 214,039.13 and 463,741.88

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Solution

The third proportional to 214,039.13 and 463,741.88 is: 1,004,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,039.13 : 463,741.88 = 463,741.88 : x
  2. Step 2: Convert to fraction form
    214,039.13/463,741.88 = 463,741.88/x
  3. Step 3: Cross multiply
    214,039.13x = 463,741.88 × 463,741.88
  4. Step 4: Simplify right side
    214,039.13x = 215,056,526,628.52
  5. Step 5: Solve for x
    x = 215,056,526,628.52/214,039.13
  6. Step 6: Final answer
    x = 1,004,753.34

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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.