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Finding the Third Proportional to 444,072 and 677,232

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Solution

The third proportional to 444,072 and 677,232 is: 1,032,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,072 : 677,232 = 677,232 : x
  2. Step 2: Convert to fraction form
    444,072/677,232 = 677,232/x
  3. Step 3: Cross multiply
    444,072x = 677,232 × 677,232
  4. Step 4: Simplify right side
    444,072x = 458,643,181,824
  5. Step 5: Solve for x
    x = 458,643,181,824/444,072
  6. Step 6: Final answer
    x = 1,032,812.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.