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Finding the Third Proportional to 241,019 and 509,128

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Solution

The third proportional to 241,019 and 509,128 is: 1,075,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,019 : 509,128 = 509,128 : x
  2. Step 2: Convert to fraction form
    241,019/509,128 = 509,128/x
  3. Step 3: Cross multiply
    241,019x = 509,128 × 509,128
  4. Step 4: Simplify right side
    241,019x = 259,211,320,384
  5. Step 5: Solve for x
    x = 259,211,320,384/241,019
  6. Step 6: Final answer
    x = 1,075,480.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.