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Finding the Third Proportional to 240,124 and 520,958

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Solution

The third proportional to 240,124 and 520,958 is: 1,130,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,124 : 520,958 = 520,958 : x
  2. Step 2: Convert to fraction form
    240,124/520,958 = 520,958/x
  3. Step 3: Cross multiply
    240,124x = 520,958 × 520,958
  4. Step 4: Simplify right side
    240,124x = 271,397,237,764
  5. Step 5: Solve for x
    x = 271,397,237,764/240,124
  6. Step 6: Final answer
    x = 1,130,237.87

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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.