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Finding the Third Proportional to 293,718 and 612,762

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Solution

The third proportional to 293,718 and 612,762 is: 1,278,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,718 : 612,762 = 612,762 : x
  2. Step 2: Convert to fraction form
    293,718/612,762 = 612,762/x
  3. Step 3: Cross multiply
    293,718x = 612,762 × 612,762
  4. Step 4: Simplify right side
    293,718x = 375,477,268,644
  5. Step 5: Solve for x
    x = 375,477,268,644/293,718
  6. Step 6: Final answer
    x = 1,278,359.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.