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Finding the Third Proportional to 320,783 and 448,477

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Solution

The third proportional to 320,783 and 448,477 is: 627,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,783 : 448,477 = 448,477 : x
  2. Step 2: Convert to fraction form
    320,783/448,477 = 448,477/x
  3. Step 3: Cross multiply
    320,783x = 448,477 × 448,477
  4. Step 4: Simplify right side
    320,783x = 201,131,619,529
  5. Step 5: Solve for x
    x = 201,131,619,529/320,783
  6. Step 6: Final answer
    x = 627,002.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.