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Finding the Third Proportional to 332,572 and 507,161

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Solution

The third proportional to 332,572 and 507,161 is: 773,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,572 : 507,161 = 507,161 : x
  2. Step 2: Convert to fraction form
    332,572/507,161 = 507,161/x
  3. Step 3: Cross multiply
    332,572x = 507,161 × 507,161
  4. Step 4: Simplify right side
    332,572x = 257,212,279,921
  5. Step 5: Solve for x
    x = 257,212,279,921/332,572
  6. Step 6: Final answer
    x = 773,403.29

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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.