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Finding the Third Proportional to 240,108 and 520,914

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Solution

The third proportional to 240,108 and 520,914 is: 1,130,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,108 : 520,914 = 520,914 : x
  2. Step 2: Convert to fraction form
    240,108/520,914 = 520,914/x
  3. Step 3: Cross multiply
    240,108x = 520,914 × 520,914
  4. Step 4: Simplify right side
    240,108x = 271,351,395,396
  5. Step 5: Solve for x
    x = 271,351,395,396/240,108
  6. Step 6: Final answer
    x = 1,130,122.26

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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.