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Finding the Third Proportional to 355,626 and 775,160

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Solution

The third proportional to 355,626 and 775,160 is: 1,689,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,626 : 775,160 = 775,160 : x
  2. Step 2: Convert to fraction form
    355,626/775,160 = 775,160/x
  3. Step 3: Cross multiply
    355,626x = 775,160 × 775,160
  4. Step 4: Simplify right side
    355,626x = 600,873,025,600
  5. Step 5: Solve for x
    x = 600,873,025,600/355,626
  6. Step 6: Final answer
    x = 1,689,620.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.