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Finding the Third Proportional to 397,775 and 602,441

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Solution

The third proportional to 397,775 and 602,441 is: 912,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,775 : 602,441 = 602,441 : x
  2. Step 2: Convert to fraction form
    397,775/602,441 = 602,441/x
  3. Step 3: Cross multiply
    397,775x = 602,441 × 602,441
  4. Step 4: Simplify right side
    397,775x = 362,935,158,481
  5. Step 5: Solve for x
    x = 362,935,158,481/397,775
  6. Step 6: Final answer
    x = 912,413.19

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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.