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Finding the Third Proportional to 294,128 and 414,184

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Solution

The third proportional to 294,128 and 414,184 is: 583,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,128 : 414,184 = 414,184 : x
  2. Step 2: Convert to fraction form
    294,128/414,184 = 414,184/x
  3. Step 3: Cross multiply
    294,128x = 414,184 × 414,184
  4. Step 4: Simplify right side
    294,128x = 171,548,385,856
  5. Step 5: Solve for x
    x = 171,548,385,856/294,128
  6. Step 6: Final answer
    x = 583,243.98

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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.