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Finding the Third Proportional to 250,598 and 383,835

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Solution

The third proportional to 250,598 and 383,835 is: 587,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,598 : 383,835 = 383,835 : x
  2. Step 2: Convert to fraction form
    250,598/383,835 = 383,835/x
  3. Step 3: Cross multiply
    250,598x = 383,835 × 383,835
  4. Step 4: Simplify right side
    250,598x = 147,329,307,225
  5. Step 5: Solve for x
    x = 147,329,307,225/250,598
  6. Step 6: Final answer
    x = 587,910.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.