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Finding the Third Proportional to 332,726 and 511,940

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Solution

The third proportional to 332,726 and 511,940 is: 787,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,726 : 511,940 = 511,940 : x
  2. Step 2: Convert to fraction form
    332,726/511,940 = 511,940/x
  3. Step 3: Cross multiply
    332,726x = 511,940 × 511,940
  4. Step 4: Simplify right side
    332,726x = 262,082,563,600
  5. Step 5: Solve for x
    x = 262,082,563,600/332,726
  6. Step 6: Final answer
    x = 787,682.85

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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.