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Finding the Third Proportional to 294,754 and 444,932

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Solution

The third proportional to 294,754 and 444,932 is: 671,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,754 : 444,932 = 444,932 : x
  2. Step 2: Convert to fraction form
    294,754/444,932 = 444,932/x
  3. Step 3: Cross multiply
    294,754x = 444,932 × 444,932
  4. Step 4: Simplify right side
    294,754x = 197,964,484,624
  5. Step 5: Solve for x
    x = 197,964,484,624/294,754
  6. Step 6: Final answer
    x = 671,626.12

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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.