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Finding the Third Proportional to 298,759 and 448,463

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Solution

The third proportional to 298,759 and 448,463 is: 673,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,759 : 448,463 = 448,463 : x
  2. Step 2: Convert to fraction form
    298,759/448,463 = 448,463/x
  3. Step 3: Cross multiply
    298,759x = 448,463 × 448,463
  4. Step 4: Simplify right side
    298,759x = 201,119,062,369
  5. Step 5: Solve for x
    x = 201,119,062,369/298,759
  6. Step 6: Final answer
    x = 673,181.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.