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Finding the Third Proportional to 216,620 and 475,086

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Solution

The third proportional to 216,620 and 475,086 is: 1,041,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,620 : 475,086 = 475,086 : x
  2. Step 2: Convert to fraction form
    216,620/475,086 = 475,086/x
  3. Step 3: Cross multiply
    216,620x = 475,086 × 475,086
  4. Step 4: Simplify right side
    216,620x = 225,706,707,396
  5. Step 5: Solve for x
    x = 225,706,707,396/216,620
  6. Step 6: Final answer
    x = 1,041,947.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.