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Finding the Third Proportional to 294,984 and 442,764

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Solution

The third proportional to 294,984 and 442,764 is: 664,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,984 : 442,764 = 442,764 : x
  2. Step 2: Convert to fraction form
    294,984/442,764 = 442,764/x
  3. Step 3: Cross multiply
    294,984x = 442,764 × 442,764
  4. Step 4: Simplify right side
    294,984x = 196,039,959,696
  5. Step 5: Solve for x
    x = 196,039,959,696/294,984
  6. Step 6: Final answer
    x = 664,578.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.