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Finding the Third Proportional to 305,282 and 448,782

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Solution

The third proportional to 305,282 and 448,782 is: 659,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,282 : 448,782 = 448,782 : x
  2. Step 2: Convert to fraction form
    305,282/448,782 = 448,782/x
  3. Step 3: Cross multiply
    305,282x = 448,782 × 448,782
  4. Step 4: Simplify right side
    305,282x = 201,405,283,524
  5. Step 5: Solve for x
    x = 201,405,283,524/305,282
  6. Step 6: Final answer
    x = 659,735.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.