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Finding the Third Proportional to 336,765.94 and 399,043.13

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Solution

The third proportional to 336,765.94 and 399,043.13 is: 472,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,765.94 : 399,043.13 = 399,043.13 : x
  2. Step 2: Convert to fraction form
    336,765.94/399,043.13 = 399,043.13/x
  3. Step 3: Cross multiply
    336,765.94x = 399,043.13 × 399,043.13
  4. Step 4: Simplify right side
    336,765.94x = 159,235,415,609.77
  5. Step 5: Solve for x
    x = 159,235,415,609.77/336,765.94
  6. Step 6: Final answer
    x = 472,837.06

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.