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Finding the Third Proportional to 332,922 and 507,675

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Solution

The third proportional to 332,922 and 507,675 is: 774,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,922 : 507,675 = 507,675 : x
  2. Step 2: Convert to fraction form
    332,922/507,675 = 507,675/x
  3. Step 3: Cross multiply
    332,922x = 507,675 × 507,675
  4. Step 4: Simplify right side
    332,922x = 257,733,905,625
  5. Step 5: Solve for x
    x = 257,733,905,625/332,922
  6. Step 6: Final answer
    x = 774,157.03

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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.