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Finding the Third Proportional to 313,408.50 and 676,690.50

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Solution

The third proportional to 313,408.50 and 676,690.50 is: 1,461,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,408.50 : 676,690.50 = 676,690.50 : x
  2. Step 2: Convert to fraction form
    313,408.50/676,690.50 = 676,690.50/x
  3. Step 3: Cross multiply
    313,408.50x = 676,690.50 × 676,690.50
  4. Step 4: Simplify right side
    313,408.50x = 457,910,032,790.25
  5. Step 5: Solve for x
    x = 457,910,032,790.25/313,408.50
  6. Step 6: Final answer
    x = 1,461,064.50

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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.