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Finding the Third Proportional to 235,932 and 513,330

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Solution

The third proportional to 235,932 and 513,330 is: 1,116,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,932 : 513,330 = 513,330 : x
  2. Step 2: Convert to fraction form
    235,932/513,330 = 513,330/x
  3. Step 3: Cross multiply
    235,932x = 513,330 × 513,330
  4. Step 4: Simplify right side
    235,932x = 263,507,688,900
  5. Step 5: Solve for x
    x = 263,507,688,900/235,932
  6. Step 6: Final answer
    x = 1,116,879.82

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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.