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Finding the Third Proportional to 241,011 and 509,112

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Solution

The third proportional to 241,011 and 509,112 is: 1,075,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,011 : 509,112 = 509,112 : x
  2. Step 2: Convert to fraction form
    241,011/509,112 = 509,112/x
  3. Step 3: Cross multiply
    241,011x = 509,112 × 509,112
  4. Step 4: Simplify right side
    241,011x = 259,195,028,544
  5. Step 5: Solve for x
    x = 259,195,028,544/241,011
  6. Step 6: Final answer
    x = 1,075,448.96

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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.