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Finding the Third Proportional to 241,852 and 562,162

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Solution

The third proportional to 241,852 and 562,162 is: 1,306,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,852 : 562,162 = 562,162 : x
  2. Step 2: Convert to fraction form
    241,852/562,162 = 562,162/x
  3. Step 3: Cross multiply
    241,852x = 562,162 × 562,162
  4. Step 4: Simplify right side
    241,852x = 316,026,114,244
  5. Step 5: Solve for x
    x = 316,026,114,244/241,852
  6. Step 6: Final answer
    x = 1,306,692.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.