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Finding the Third Proportional to 338,544.56 and 495,357.19

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Solution

The third proportional to 338,544.56 and 495,357.19 is: 724,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,544.56 : 495,357.19 = 495,357.19 : x
  2. Step 2: Convert to fraction form
    338,544.56/495,357.19 = 495,357.19/x
  3. Step 3: Cross multiply
    338,544.56x = 495,357.19 × 495,357.19
  4. Step 4: Simplify right side
    338,544.56x = 245,378,743,207.91
  5. Step 5: Solve for x
    x = 245,378,743,207.91/338,544.56
  6. Step 6: Final answer
    x = 724,804.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.