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Finding the Third Proportional to 377,624 and 613,457

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Solution

The third proportional to 377,624 and 613,457 is: 996,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,624 : 613,457 = 613,457 : x
  2. Step 2: Convert to fraction form
    377,624/613,457 = 613,457/x
  3. Step 3: Cross multiply
    377,624x = 613,457 × 613,457
  4. Step 4: Simplify right side
    377,624x = 376,329,490,849
  5. Step 5: Solve for x
    x = 376,329,490,849/377,624
  6. Step 6: Final answer
    x = 996,571.96

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.