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Finding the Third Proportional to 294,878 and 444,761

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Solution

The third proportional to 294,878 and 444,761 is: 670,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,878 : 444,761 = 444,761 : x
  2. Step 2: Convert to fraction form
    294,878/444,761 = 444,761/x
  3. Step 3: Cross multiply
    294,878x = 444,761 × 444,761
  4. Step 4: Simplify right side
    294,878x = 197,812,347,121
  5. Step 5: Solve for x
    x = 197,812,347,121/294,878
  6. Step 6: Final answer
    x = 670,827.76

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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.