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Finding the Third Proportional to 294,562 and 467,175

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Solution

The third proportional to 294,562 and 467,175 is: 740,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,562 : 467,175 = 467,175 : x
  2. Step 2: Convert to fraction form
    294,562/467,175 = 467,175/x
  3. Step 3: Cross multiply
    294,562x = 467,175 × 467,175
  4. Step 4: Simplify right side
    294,562x = 218,252,480,625
  5. Step 5: Solve for x
    x = 218,252,480,625/294,562
  6. Step 6: Final answer
    x = 740,939.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.