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Finding the Third Proportional to 294,888 and 444,775.50

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Solution

The third proportional to 294,888 and 444,775.50 is: 670,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,888 : 444,775.50 = 444,775.50 : x
  2. Step 2: Convert to fraction form
    294,888/444,775.50 = 444,775.50/x
  3. Step 3: Cross multiply
    294,888x = 444,775.50 × 444,775.50
  4. Step 4: Simplify right side
    294,888x = 197,825,245,400.25
  5. Step 5: Solve for x
    x = 197,825,245,400.25/294,888
  6. Step 6: Final answer
    x = 670,848.75

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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.