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Finding the Third Proportional to 383,775 and 613,102.50

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Solution

The third proportional to 383,775 and 613,102.50 is: 979,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,775 : 613,102.50 = 613,102.50 : x
  2. Step 2: Convert to fraction form
    383,775/613,102.50 = 613,102.50/x
  3. Step 3: Cross multiply
    383,775x = 613,102.50 × 613,102.50
  4. Step 4: Simplify right side
    383,775x = 375,894,675,506.25
  5. Step 5: Solve for x
    x = 375,894,675,506.25/383,775
  6. Step 6: Final answer
    x = 979,466.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.