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Finding the Third Proportional to 338,544.88 and 495,357.50

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Solution

The third proportional to 338,544.88 and 495,357.50 is: 724,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,544.88 : 495,357.50 = 495,357.50 : x
  2. Step 2: Convert to fraction form
    338,544.88/495,357.50 = 495,357.50/x
  3. Step 3: Cross multiply
    338,544.88x = 495,357.50 × 495,357.50
  4. Step 4: Simplify right side
    338,544.88x = 245,379,052,806.25
  5. Step 5: Solve for x
    x = 245,379,052,806.25/338,544.88
  6. Step 6: Final answer
    x = 724,805.10

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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.