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Finding the Third Proportional to 262,363 and 383,217

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Solution

The third proportional to 262,363 and 383,217 is: 559,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,363 : 383,217 = 383,217 : x
  2. Step 2: Convert to fraction form
    262,363/383,217 = 383,217/x
  3. Step 3: Cross multiply
    262,363x = 383,217 × 383,217
  4. Step 4: Simplify right side
    262,363x = 146,855,269,089
  5. Step 5: Solve for x
    x = 146,855,269,089/262,363
  6. Step 6: Final answer
    x = 559,740.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.