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Finding the Third Proportional to 245,529 and 383,217

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Solution

The third proportional to 245,529 and 383,217 is: 598,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,529 : 383,217 = 383,217 : x
  2. Step 2: Convert to fraction form
    245,529/383,217 = 383,217/x
  3. Step 3: Cross multiply
    245,529x = 383,217 × 383,217
  4. Step 4: Simplify right side
    245,529x = 146,855,269,089
  5. Step 5: Solve for x
    x = 146,855,269,089/245,529
  6. Step 6: Final answer
    x = 598,117.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.