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Finding the Third Proportional to 397,662 and 602,285

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Solution

The third proportional to 397,662 and 602,285 is: 912,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,662 : 602,285 = 602,285 : x
  2. Step 2: Convert to fraction form
    397,662/602,285 = 602,285/x
  3. Step 3: Cross multiply
    397,662x = 602,285 × 602,285
  4. Step 4: Simplify right side
    397,662x = 362,747,221,225
  5. Step 5: Solve for x
    x = 362,747,221,225/397,662
  6. Step 6: Final answer
    x = 912,199.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.