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Finding the Third Proportional to 294,509 and 444,218

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Solution

The third proportional to 294,509 and 444,218 is: 670,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,509 : 444,218 = 444,218 : x
  2. Step 2: Convert to fraction form
    294,509/444,218 = 444,218/x
  3. Step 3: Cross multiply
    294,509x = 444,218 × 444,218
  4. Step 4: Simplify right side
    294,509x = 197,329,631,524
  5. Step 5: Solve for x
    x = 197,329,631,524/294,509
  6. Step 6: Final answer
    x = 670,029.21

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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.