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Finding the Third Proportional to 241,075 and 525,009

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Solution

The third proportional to 241,075 and 525,009 is: 1,143,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,075 : 525,009 = 525,009 : x
  2. Step 2: Convert to fraction form
    241,075/525,009 = 525,009/x
  3. Step 3: Cross multiply
    241,075x = 525,009 × 525,009
  4. Step 4: Simplify right side
    241,075x = 275,634,450,081
  5. Step 5: Solve for x
    x = 275,634,450,081/241,075
  6. Step 6: Final answer
    x = 1,143,355.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.