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Finding the Third Proportional to 332,573 and 507,162

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Solution

The third proportional to 332,573 and 507,162 is: 773,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,573 : 507,162 = 507,162 : x
  2. Step 2: Convert to fraction form
    332,573/507,162 = 507,162/x
  3. Step 3: Cross multiply
    332,573x = 507,162 × 507,162
  4. Step 4: Simplify right side
    332,573x = 257,213,294,244
  5. Step 5: Solve for x
    x = 257,213,294,244/332,573
  6. Step 6: Final answer
    x = 773,404.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.