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Finding the Third Proportional to 397,660 and 602,282

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Solution

The third proportional to 397,660 and 602,282 is: 912,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,660 : 602,282 = 602,282 : x
  2. Step 2: Convert to fraction form
    397,660/602,282 = 602,282/x
  3. Step 3: Cross multiply
    397,660x = 602,282 × 602,282
  4. Step 4: Simplify right side
    397,660x = 362,743,607,524
  5. Step 5: Solve for x
    x = 362,743,607,524/397,660
  6. Step 6: Final answer
    x = 912,195.36

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Why These Related Problems?

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