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Finding the Third Proportional to 355,785 and 550,302

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Solution

The third proportional to 355,785 and 550,302 is: 851,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,785 : 550,302 = 550,302 : x
  2. Step 2: Convert to fraction form
    355,785/550,302 = 550,302/x
  3. Step 3: Cross multiply
    355,785x = 550,302 × 550,302
  4. Step 4: Simplify right side
    355,785x = 302,832,291,204
  5. Step 5: Solve for x
    x = 302,832,291,204/355,785
  6. Step 6: Final answer
    x = 851,166.55

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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.