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Finding the Third Proportional to 332,352 and 512,352

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Solution

The third proportional to 332,352 and 512,352 is: 789,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,352 : 512,352 = 512,352 : x
  2. Step 2: Convert to fraction form
    332,352/512,352 = 512,352/x
  3. Step 3: Cross multiply
    332,352x = 512,352 × 512,352
  4. Step 4: Simplify right side
    332,352x = 262,504,571,904
  5. Step 5: Solve for x
    x = 262,504,571,904/332,352
  6. Step 6: Final answer
    x = 789,839.00

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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.