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Finding the Third Proportional to 234,219 and 520,842

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Solution

The third proportional to 234,219 and 520,842 is: 1,158,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,219 : 520,842 = 520,842 : x
  2. Step 2: Convert to fraction form
    234,219/520,842 = 520,842/x
  3. Step 3: Cross multiply
    234,219x = 520,842 × 520,842
  4. Step 4: Simplify right side
    234,219x = 271,276,388,964
  5. Step 5: Solve for x
    x = 271,276,388,964/234,219
  6. Step 6: Final answer
    x = 1,158,216.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.