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Finding the Third Proportional to 238,752 and 520,104

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Solution

The third proportional to 238,752 and 520,104 is: 1,133,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,752 : 520,104 = 520,104 : x
  2. Step 2: Convert to fraction form
    238,752/520,104 = 520,104/x
  3. Step 3: Cross multiply
    238,752x = 520,104 × 520,104
  4. Step 4: Simplify right side
    238,752x = 270,508,170,816
  5. Step 5: Solve for x
    x = 270,508,170,816/238,752
  6. Step 6: Final answer
    x = 1,133,009.03

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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.