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Finding the Third Proportional to 304,524 and 446,832

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Solution

The third proportional to 304,524 and 446,832 is: 655,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,524 : 446,832 = 446,832 : x
  2. Step 2: Convert to fraction form
    304,524/446,832 = 446,832/x
  3. Step 3: Cross multiply
    304,524x = 446,832 × 446,832
  4. Step 4: Simplify right side
    304,524x = 199,658,836,224
  5. Step 5: Solve for x
    x = 199,658,836,224/304,524
  6. Step 6: Final answer
    x = 655,642.37

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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.