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Finding the Third Proportional to 294,044 and 414,087

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Solution

The third proportional to 294,044 and 414,087 is: 583,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,044 : 414,087 = 414,087 : x
  2. Step 2: Convert to fraction form
    294,044/414,087 = 414,087/x
  3. Step 3: Cross multiply
    294,044x = 414,087 × 414,087
  4. Step 4: Simplify right side
    294,044x = 171,468,043,569
  5. Step 5: Solve for x
    x = 171,468,043,569/294,044
  6. Step 6: Final answer
    x = 583,137.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.