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Finding the Third Proportional to 235,948 and 511,253

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Solution

The third proportional to 235,948 and 511,253 is: 1,107,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,948 : 511,253 = 511,253 : x
  2. Step 2: Convert to fraction form
    235,948/511,253 = 511,253/x
  3. Step 3: Cross multiply
    235,948x = 511,253 × 511,253
  4. Step 4: Simplify right side
    235,948x = 261,379,630,009
  5. Step 5: Solve for x
    x = 261,379,630,009/235,948
  6. Step 6: Final answer
    x = 1,107,784.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.