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Finding the Third Proportional to 267,774.19 and 410,158.69

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Solution

The third proportional to 267,774.19 and 410,158.69 is: 628,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,774.19 : 410,158.69 = 410,158.69 : x
  2. Step 2: Convert to fraction form
    267,774.19/410,158.69 = 410,158.69/x
  3. Step 3: Cross multiply
    267,774.19x = 410,158.69 × 410,158.69
  4. Step 4: Simplify right side
    267,774.19x = 168,230,148,931.72
  5. Step 5: Solve for x
    x = 168,230,148,931.72/267,774.19
  6. Step 6: Final answer
    x = 628,253.79

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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.