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Finding the Third Proportional to 205,337 and 477,054

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Solution

The third proportional to 205,337 and 477,054 is: 1,108,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,337 : 477,054 = 477,054 : x
  2. Step 2: Convert to fraction form
    205,337/477,054 = 477,054/x
  3. Step 3: Cross multiply
    205,337x = 477,054 × 477,054
  4. Step 4: Simplify right side
    205,337x = 227,580,518,916
  5. Step 5: Solve for x
    x = 227,580,518,916/205,337
  6. Step 6: Final answer
    x = 1,108,326.89

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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.