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Finding the Third Proportional to 200,938 and 442,050

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Solution

The third proportional to 200,938 and 442,050 is: 972,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,938 : 442,050 = 442,050 : x
  2. Step 2: Convert to fraction form
    200,938/442,050 = 442,050/x
  3. Step 3: Cross multiply
    200,938x = 442,050 × 442,050
  4. Step 4: Simplify right side
    200,938x = 195,408,202,500
  5. Step 5: Solve for x
    x = 195,408,202,500/200,938
  6. Step 6: Final answer
    x = 972,480.08

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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.