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Finding the Third Proportional to 313,598 and 677,496

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Solution

The third proportional to 313,598 and 677,496 is: 1,463,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,598 : 677,496 = 677,496 : x
  2. Step 2: Convert to fraction form
    313,598/677,496 = 677,496/x
  3. Step 3: Cross multiply
    313,598x = 677,496 × 677,496
  4. Step 4: Simplify right side
    313,598x = 459,000,830,016
  5. Step 5: Solve for x
    x = 459,000,830,016/313,598
  6. Step 6: Final answer
    x = 1,463,659.94

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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.