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Finding the Third Proportional to 294,930 and 444,811.50

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Solution

The third proportional to 294,930 and 444,811.50 is: 670,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,930 : 444,811.50 = 444,811.50 : x
  2. Step 2: Convert to fraction form
    294,930/444,811.50 = 444,811.50/x
  3. Step 3: Cross multiply
    294,930x = 444,811.50 × 444,811.50
  4. Step 4: Simplify right side
    294,930x = 197,857,270,532.25
  5. Step 5: Solve for x
    x = 197,857,270,532.25/294,930
  6. Step 6: Final answer
    x = 670,861.80

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