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Finding the Third Proportional to 355,782.38 and 550,299.38

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Solution

The third proportional to 355,782.38 and 550,299.38 is: 851,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,782.38 : 550,299.38 = 550,299.38 : x
  2. Step 2: Convert to fraction form
    355,782.38/550,299.38 = 550,299.38/x
  3. Step 3: Cross multiply
    355,782.38x = 550,299.38 × 550,299.38
  4. Step 4: Simplify right side
    355,782.38x = 302,829,402,125.39
  5. Step 5: Solve for x
    x = 302,829,402,125.39/355,782.38
  6. Step 6: Final answer
    x = 851,164.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.