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Finding the Third Proportional to 236,979 and 526,446

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Solution

The third proportional to 236,979 and 526,446 is: 1,169,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,979 : 526,446 = 526,446 : x
  2. Step 2: Convert to fraction form
    236,979/526,446 = 526,446/x
  3. Step 3: Cross multiply
    236,979x = 526,446 × 526,446
  4. Step 4: Simplify right side
    236,979x = 277,145,390,916
  5. Step 5: Solve for x
    x = 277,145,390,916/236,979
  6. Step 6: Final answer
    x = 1,169,493.46

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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.