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Finding the Third Proportional to 332,644.22 and 508,944.52

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Solution

The third proportional to 332,644.22 and 508,944.52 is: 778,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,644.22 : 508,944.52 = 508,944.52 : x
  2. Step 2: Convert to fraction form
    332,644.22/508,944.52 = 508,944.52/x
  3. Step 3: Cross multiply
    332,644.22x = 508,944.52 × 508,944.52
  4. Step 4: Simplify right side
    332,644.22x = 259,024,519,984.77
  5. Step 5: Solve for x
    x = 259,024,519,984.77/332,644.22
  6. Step 6: Final answer
    x = 778,683.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.