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Finding the Third Proportional to 333,144 and 511,750

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Solution

The third proportional to 333,144 and 511,750 is: 786,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,144 : 511,750 = 511,750 : x
  2. Step 2: Convert to fraction form
    333,144/511,750 = 511,750/x
  3. Step 3: Cross multiply
    333,144x = 511,750 × 511,750
  4. Step 4: Simplify right side
    333,144x = 261,888,062,500
  5. Step 5: Solve for x
    x = 261,888,062,500/333,144
  6. Step 6: Final answer
    x = 786,110.70

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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.