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Finding the Third Proportional to 293,901 and 600,255

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Solution

The third proportional to 293,901 and 600,255 is: 1,225,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,901 : 600,255 = 600,255 : x
  2. Step 2: Convert to fraction form
    293,901/600,255 = 600,255/x
  3. Step 3: Cross multiply
    293,901x = 600,255 × 600,255
  4. Step 4: Simplify right side
    293,901x = 360,306,065,025
  5. Step 5: Solve for x
    x = 360,306,065,025/293,901
  6. Step 6: Final answer
    x = 1,225,943.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.