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Finding the Third Proportional to 479,814 and 717,078

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Solution

The third proportional to 479,814 and 717,078 is: 1,071,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,814 : 717,078 = 717,078 : x
  2. Step 2: Convert to fraction form
    479,814/717,078 = 717,078/x
  3. Step 3: Cross multiply
    479,814x = 717,078 × 717,078
  4. Step 4: Simplify right side
    479,814x = 514,200,858,084
  5. Step 5: Solve for x
    x = 514,200,858,084/479,814
  6. Step 6: Final answer
    x = 1,071,667.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.