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Finding the Third Proportional to 351,369 and 828,633

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Solution

The third proportional to 351,369 and 828,633 is: 1,954,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,369 : 828,633 = 828,633 : x
  2. Step 2: Convert to fraction form
    351,369/828,633 = 828,633/x
  3. Step 3: Cross multiply
    351,369x = 828,633 × 828,633
  4. Step 4: Simplify right side
    351,369x = 686,632,648,689
  5. Step 5: Solve for x
    x = 686,632,648,689/351,369
  6. Step 6: Final answer
    x = 1,954,163.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.