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Finding the Third Proportional to 397,272.09 and 815,482.69

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Solution

The third proportional to 397,272.09 and 815,482.69 is: 1,673,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,272.09 : 815,482.69 = 815,482.69 : x
  2. Step 2: Convert to fraction form
    397,272.09/815,482.69 = 815,482.69/x
  3. Step 3: Cross multiply
    397,272.09x = 815,482.69 × 815,482.69
  4. Step 4: Simplify right side
    397,272.09x = 665,012,013,612.22
  5. Step 5: Solve for x
    x = 665,012,013,612.22/397,272.09
  6. Step 6: Final answer
    x = 1,673,945.95

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.