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Finding the Third Proportional to 404,082 and 606,123

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Solution

The third proportional to 404,082 and 606,123 is: 909,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,082 : 606,123 = 606,123 : x
  2. Step 2: Convert to fraction form
    404,082/606,123 = 606,123/x
  3. Step 3: Cross multiply
    404,082x = 606,123 × 606,123
  4. Step 4: Simplify right side
    404,082x = 367,385,091,129
  5. Step 5: Solve for x
    x = 367,385,091,129/404,082
  6. Step 6: Final answer
    x = 909,184.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.