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Finding the Third Proportional to 255,896 and 594,880

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Solution

The third proportional to 255,896 and 594,880 is: 1,382,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,896 : 594,880 = 594,880 : x
  2. Step 2: Convert to fraction form
    255,896/594,880 = 594,880/x
  3. Step 3: Cross multiply
    255,896x = 594,880 × 594,880
  4. Step 4: Simplify right side
    255,896x = 353,882,214,400
  5. Step 5: Solve for x
    x = 353,882,214,400/255,896
  6. Step 6: Final answer
    x = 1,382,914.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.