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Finding the Third Proportional to 293,670 and 467,290

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Solution

The third proportional to 293,670 and 467,290 is: 743,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,670 : 467,290 = 467,290 : x
  2. Step 2: Convert to fraction form
    293,670/467,290 = 467,290/x
  3. Step 3: Cross multiply
    293,670x = 467,290 × 467,290
  4. Step 4: Simplify right side
    293,670x = 218,359,944,100
  5. Step 5: Solve for x
    x = 218,359,944,100/293,670
  6. Step 6: Final answer
    x = 743,555.50

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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.