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Finding the Third Proportional to 332,721 and 511,933.50

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Solution

The third proportional to 332,721 and 511,933.50 is: 787,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,721 : 511,933.50 = 511,933.50 : x
  2. Step 2: Convert to fraction form
    332,721/511,933.50 = 511,933.50/x
  3. Step 3: Cross multiply
    332,721x = 511,933.50 × 511,933.50
  4. Step 4: Simplify right side
    332,721x = 262,075,908,422.25
  5. Step 5: Solve for x
    x = 262,075,908,422.25/332,721
  6. Step 6: Final answer
    x = 787,674.68

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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.