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Finding the Third Proportional to 200,922 and 442,731

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Solution

The third proportional to 200,922 and 442,731 is: 975,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,922 : 442,731 = 442,731 : x
  2. Step 2: Convert to fraction form
    200,922/442,731 = 442,731/x
  3. Step 3: Cross multiply
    200,922x = 442,731 × 442,731
  4. Step 4: Simplify right side
    200,922x = 196,010,738,361
  5. Step 5: Solve for x
    x = 196,010,738,361/200,922
  6. Step 6: Final answer
    x = 975,556.38

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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.