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Finding the Third Proportional to 281,128 and 605,240

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Solution

The third proportional to 281,128 and 605,240 is: 1,303,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,128 : 605,240 = 605,240 : x
  2. Step 2: Convert to fraction form
    281,128/605,240 = 605,240/x
  3. Step 3: Cross multiply
    281,128x = 605,240 × 605,240
  4. Step 4: Simplify right side
    281,128x = 366,315,457,600
  5. Step 5: Solve for x
    x = 366,315,457,600/281,128
  6. Step 6: Final answer
    x = 1,303,020.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.