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Finding the Third Proportional to 264,826.13 and 399,729.94

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Solution

The third proportional to 264,826.13 and 399,729.94 is: 603,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,826.13 : 399,729.94 = 399,729.94 : x
  2. Step 2: Convert to fraction form
    264,826.13/399,729.94 = 399,729.94/x
  3. Step 3: Cross multiply
    264,826.13x = 399,729.94 × 399,729.94
  4. Step 4: Simplify right side
    264,826.13x = 159,784,022,933.75
  5. Step 5: Solve for x
    x = 159,784,022,933.75/264,826.13
  6. Step 6: Final answer
    x = 603,354.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.