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Finding the Third Proportional to 326,296.50 and 459,506.25

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Solution

The third proportional to 326,296.50 and 459,506.25 is: 647,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,296.50 : 459,506.25 = 459,506.25 : x
  2. Step 2: Convert to fraction form
    326,296.50/459,506.25 = 459,506.25/x
  3. Step 3: Cross multiply
    326,296.50x = 459,506.25 × 459,506.25
  4. Step 4: Simplify right side
    326,296.50x = 211,145,993,789.06
  5. Step 5: Solve for x
    x = 211,145,993,789.06/326,296.50
  6. Step 6: Final answer
    x = 647,098.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.