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Finding the Third Proportional to 294,450 and 467,003

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Solution

The third proportional to 294,450 and 467,003 is: 740,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,450 : 467,003 = 467,003 : x
  2. Step 2: Convert to fraction form
    294,450/467,003 = 467,003/x
  3. Step 3: Cross multiply
    294,450x = 467,003 × 467,003
  4. Step 4: Simplify right side
    294,450x = 218,091,802,009
  5. Step 5: Solve for x
    x = 218,091,802,009/294,450
  6. Step 6: Final answer
    x = 740,675.16

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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.