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Finding the Third Proportional to 332,638.50 and 511,873.50

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Solution

The third proportional to 332,638.50 and 511,873.50 is: 787,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,638.50 : 511,873.50 = 511,873.50 : x
  2. Step 2: Convert to fraction form
    332,638.50/511,873.50 = 511,873.50/x
  3. Step 3: Cross multiply
    332,638.50x = 511,873.50 × 511,873.50
  4. Step 4: Simplify right side
    332,638.50x = 262,014,480,002.25
  5. Step 5: Solve for x
    x = 262,014,480,002.25/332,638.50
  6. Step 6: Final answer
    x = 787,685.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.