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Finding the Third Proportional to 294,146 and 414,218

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Solution

The third proportional to 294,146 and 414,218 is: 583,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,146 : 414,218 = 414,218 : x
  2. Step 2: Convert to fraction form
    294,146/414,218 = 414,218/x
  3. Step 3: Cross multiply
    294,146x = 414,218 × 414,218
  4. Step 4: Simplify right side
    294,146x = 171,576,551,524
  5. Step 5: Solve for x
    x = 171,576,551,524/294,146
  6. Step 6: Final answer
    x = 583,304.04

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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.