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Finding the Third Proportional to 216,476 and 323,834

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Solution

The third proportional to 216,476 and 323,834 is: 484,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,476 : 323,834 = 323,834 : x
  2. Step 2: Convert to fraction form
    216,476/323,834 = 323,834/x
  3. Step 3: Cross multiply
    216,476x = 323,834 × 323,834
  4. Step 4: Simplify right side
    216,476x = 104,868,459,556
  5. Step 5: Solve for x
    x = 104,868,459,556/216,476
  6. Step 6: Final answer
    x = 484,434.58

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