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Finding the Third Proportional to 247,515 and 383,910

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Solution

The third proportional to 247,515 and 383,910 is: 595,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,515 : 383,910 = 383,910 : x
  2. Step 2: Convert to fraction form
    247,515/383,910 = 383,910/x
  3. Step 3: Cross multiply
    247,515x = 383,910 × 383,910
  4. Step 4: Simplify right side
    247,515x = 147,386,888,100
  5. Step 5: Solve for x
    x = 147,386,888,100/247,515
  6. Step 6: Final answer
    x = 595,466.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.