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Finding the Third Proportional to 234,314.63 and 485,244

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Solution

The third proportional to 234,314.63 and 485,244 is: 1,004,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,314.63 : 485,244 = 485,244 : x
  2. Step 2: Convert to fraction form
    234,314.63/485,244 = 485,244/x
  3. Step 3: Cross multiply
    234,314.63x = 485,244 × 485,244
  4. Step 4: Simplify right side
    234,314.63x = 235,461,739,536
  5. Step 5: Solve for x
    x = 235,461,739,536/234,314.63
  6. Step 6: Final answer
    x = 1,004,895.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.