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Finding the Third Proportional to 240,104 and 520,906

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Solution

The third proportional to 240,104 and 520,906 is: 1,130,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,104 : 520,906 = 520,906 : x
  2. Step 2: Convert to fraction form
    240,104/520,906 = 520,906/x
  3. Step 3: Cross multiply
    240,104x = 520,906 × 520,906
  4. Step 4: Simplify right side
    240,104x = 271,343,060,836
  5. Step 5: Solve for x
    x = 271,343,060,836/240,104
  6. Step 6: Final answer
    x = 1,130,106.37

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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.