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Finding the Third Proportional to 258,048 and 410,880

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Solution

The third proportional to 258,048 and 410,880 is: 654,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,048 : 410,880 = 410,880 : x
  2. Step 2: Convert to fraction form
    258,048/410,880 = 410,880/x
  3. Step 3: Cross multiply
    258,048x = 410,880 × 410,880
  4. Step 4: Simplify right side
    258,048x = 168,822,374,400
  5. Step 5: Solve for x
    x = 168,822,374,400/258,048
  6. Step 6: Final answer
    x = 654,228.57

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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.