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Finding the Third Proportional to 397,649.25 and 602,265.38

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Solution

The third proportional to 397,649.25 and 602,265.38 is: 912,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,649.25 : 602,265.38 = 602,265.38 : x
  2. Step 2: Convert to fraction form
    397,649.25/602,265.38 = 602,265.38/x
  3. Step 3: Cross multiply
    397,649.25x = 602,265.38 × 602,265.38
  4. Step 4: Simplify right side
    397,649.25x = 362,723,581,923.89
  5. Step 5: Solve for x
    x = 362,723,581,923.89/397,649.25
  6. Step 6: Final answer
    x = 912,169.66

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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.