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Finding the Third Proportional to 352,596 and 775,176

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Solution

The third proportional to 352,596 and 775,176 is: 1,704,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,596 : 775,176 = 775,176 : x
  2. Step 2: Convert to fraction form
    352,596/775,176 = 775,176/x
  3. Step 3: Cross multiply
    352,596x = 775,176 × 775,176
  4. Step 4: Simplify right side
    352,596x = 600,897,830,976
  5. Step 5: Solve for x
    x = 600,897,830,976/352,596
  6. Step 6: Final answer
    x = 1,704,210.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.