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Finding the Third Proportional to 338,149.69 and 472,771.69

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Solution

The third proportional to 338,149.69 and 472,771.69 is: 660,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,149.69 : 472,771.69 = 472,771.69 : x
  2. Step 2: Convert to fraction form
    338,149.69/472,771.69 = 472,771.69/x
  3. Step 3: Cross multiply
    338,149.69x = 472,771.69 × 472,771.69
  4. Step 4: Simplify right side
    338,149.69x = 223,513,068,501.60
  5. Step 5: Solve for x
    x = 223,513,068,501.60/338,149.69
  6. Step 6: Final answer
    x = 660,988.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.