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Finding the Third Proportional to 294,142 and 414,212

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Solution

The third proportional to 294,142 and 414,212 is: 583,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,142 : 414,212 = 414,212 : x
  2. Step 2: Convert to fraction form
    294,142/414,212 = 414,212/x
  3. Step 3: Cross multiply
    294,142x = 414,212 × 414,212
  4. Step 4: Simplify right side
    294,142x = 171,571,580,944
  5. Step 5: Solve for x
    x = 171,571,580,944/294,142
  6. Step 6: Final answer
    x = 583,295.08

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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.