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Finding the Third Proportional to 313,596 and 677,492

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Solution

The third proportional to 313,596 and 677,492 is: 1,463,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,596 : 677,492 = 677,492 : x
  2. Step 2: Convert to fraction form
    313,596/677,492 = 677,492/x
  3. Step 3: Cross multiply
    313,596x = 677,492 × 677,492
  4. Step 4: Simplify right side
    313,596x = 458,995,410,064
  5. Step 5: Solve for x
    x = 458,995,410,064/313,596
  6. Step 6: Final answer
    x = 1,463,651.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.