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Finding the Third Proportional to 397,652.25 and 602,270.25

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Solution

The third proportional to 397,652.25 and 602,270.25 is: 912,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,652.25 : 602,270.25 = 602,270.25 : x
  2. Step 2: Convert to fraction form
    397,652.25/602,270.25 = 602,270.25/x
  3. Step 3: Cross multiply
    397,652.25x = 602,270.25 × 602,270.25
  4. Step 4: Simplify right side
    397,652.25x = 362,729,454,035.06
  5. Step 5: Solve for x
    x = 362,729,454,035.06/397,652.25
  6. Step 6: Final answer
    x = 912,177.55

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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.