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Finding the Third Proportional to 405,158.84 and 868,082.38

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Solution

The third proportional to 405,158.84 and 868,082.38 is: 1,859,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,158.84 : 868,082.38 = 868,082.38 : x
  2. Step 2: Convert to fraction form
    405,158.84/868,082.38 = 868,082.38/x
  3. Step 3: Cross multiply
    405,158.84x = 868,082.38 × 868,082.38
  4. Step 4: Simplify right side
    405,158.84x = 753,567,016,567.53
  5. Step 5: Solve for x
    x = 753,567,016,567.53/405,158.84
  6. Step 6: Final answer
    x = 1,859,929.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.