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Finding the Third Proportional to 397,154.25 and 606,123

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Solution

The third proportional to 397,154.25 and 606,123 is: 925,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,154.25 : 606,123 = 606,123 : x
  2. Step 2: Convert to fraction form
    397,154.25/606,123 = 606,123/x
  3. Step 3: Cross multiply
    397,154.25x = 606,123 × 606,123
  4. Step 4: Simplify right side
    397,154.25x = 367,385,091,129
  5. Step 5: Solve for x
    x = 367,385,091,129/397,154.25
  6. Step 6: Final answer
    x = 925,043.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.