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Finding the Third Proportional to 240,122 and 520,954

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Solution

The third proportional to 240,122 and 520,954 is: 1,130,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,122 : 520,954 = 520,954 : x
  2. Step 2: Convert to fraction form
    240,122/520,954 = 520,954/x
  3. Step 3: Cross multiply
    240,122x = 520,954 × 520,954
  4. Step 4: Simplify right side
    240,122x = 271,393,070,116
  5. Step 5: Solve for x
    x = 271,393,070,116/240,122
  6. Step 6: Final answer
    x = 1,130,229.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.