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Finding the Third Proportional to 484,794 and 652,149

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Solution

The third proportional to 484,794 and 652,149 is: 877,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,794 : 652,149 = 652,149 : x
  2. Step 2: Convert to fraction form
    484,794/652,149 = 652,149/x
  3. Step 3: Cross multiply
    484,794x = 652,149 × 652,149
  4. Step 4: Simplify right side
    484,794x = 425,298,318,201
  5. Step 5: Solve for x
    x = 425,298,318,201/484,794
  6. Step 6: Final answer
    x = 877,276.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.