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Finding the Third Proportional to 332,149 and 468,052

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Solution

The third proportional to 332,149 and 468,052 is: 659,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,149 : 468,052 = 468,052 : x
  2. Step 2: Convert to fraction form
    332,149/468,052 = 468,052/x
  3. Step 3: Cross multiply
    332,149x = 468,052 × 468,052
  4. Step 4: Simplify right side
    332,149x = 219,072,674,704
  5. Step 5: Solve for x
    x = 219,072,674,704/332,149
  6. Step 6: Final answer
    x = 659,561.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.