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Finding the Third Proportional to 365,046.75 and 545,610.94

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Solution

The third proportional to 365,046.75 and 545,610.94 is: 815,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,046.75 : 545,610.94 = 545,610.94 : x
  2. Step 2: Convert to fraction form
    365,046.75/545,610.94 = 545,610.94/x
  3. Step 3: Cross multiply
    365,046.75x = 545,610.94 × 545,610.94
  4. Step 4: Simplify right side
    365,046.75x = 297,691,295,119.63
  5. Step 5: Solve for x
    x = 297,691,295,119.63/365,046.75
  6. Step 6: Final answer
    x = 815,488.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.