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Finding the Third Proportional to 294,757 and 444,937

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Solution

The third proportional to 294,757 and 444,937 is: 671,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,757 : 444,937 = 444,937 : x
  2. Step 2: Convert to fraction form
    294,757/444,937 = 444,937/x
  3. Step 3: Cross multiply
    294,757x = 444,937 × 444,937
  4. Step 4: Simplify right side
    294,757x = 197,968,933,969
  5. Step 5: Solve for x
    x = 197,968,933,969/294,757
  6. Step 6: Final answer
    x = 671,634.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.