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Finding the Third Proportional to 234,603 and 512,212

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Solution

The third proportional to 234,603 and 512,212 is: 1,118,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,603 : 512,212 = 512,212 : x
  2. Step 2: Convert to fraction form
    234,603/512,212 = 512,212/x
  3. Step 3: Cross multiply
    234,603x = 512,212 × 512,212
  4. Step 4: Simplify right side
    234,603x = 262,361,132,944
  5. Step 5: Solve for x
    x = 262,361,132,944/234,603
  6. Step 6: Final answer
    x = 1,118,319.60

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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.