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Finding the Third Proportional to 332,354 and 512,355

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Solution

The third proportional to 332,354 and 512,355 is: 789,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,354 : 512,355 = 512,355 : x
  2. Step 2: Convert to fraction form
    332,354/512,355 = 512,355/x
  3. Step 3: Cross multiply
    332,354x = 512,355 × 512,355
  4. Step 4: Simplify right side
    332,354x = 262,507,646,025
  5. Step 5: Solve for x
    x = 262,507,646,025/332,354
  6. Step 6: Final answer
    x = 789,843.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.