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Finding the Third Proportional to 355,780.75 and 550,296.63

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Solution

The third proportional to 355,780.75 and 550,296.63 is: 851,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,780.75 : 550,296.63 = 550,296.63 : x
  2. Step 2: Convert to fraction form
    355,780.75/550,296.63 = 550,296.63/x
  3. Step 3: Cross multiply
    355,780.75x = 550,296.63 × 550,296.63
  4. Step 4: Simplify right side
    355,780.75x = 302,826,375,486.39
  5. Step 5: Solve for x
    x = 302,826,375,486.39/355,780.75
  6. Step 6: Final answer
    x = 851,160.09

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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.