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Finding the Third Proportional to 235,773 and 509,211

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Solution

The third proportional to 235,773 and 509,211 is: 1,099,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,773 : 509,211 = 509,211 : x
  2. Step 2: Convert to fraction form
    235,773/509,211 = 509,211/x
  3. Step 3: Cross multiply
    235,773x = 509,211 × 509,211
  4. Step 4: Simplify right side
    235,773x = 259,295,842,521
  5. Step 5: Solve for x
    x = 259,295,842,521/235,773
  6. Step 6: Final answer
    x = 1,099,769.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.