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Finding the Third Proportional to 235,932 and 513,333

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Solution

The third proportional to 235,932 and 513,333 is: 1,116,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,932 : 513,333 = 513,333 : x
  2. Step 2: Convert to fraction form
    235,932/513,333 = 513,333/x
  3. Step 3: Cross multiply
    235,932x = 513,333 × 513,333
  4. Step 4: Simplify right side
    235,932x = 263,510,768,889
  5. Step 5: Solve for x
    x = 263,510,768,889/235,932
  6. Step 6: Final answer
    x = 1,116,892.87

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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.