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Finding the Third Proportional to 333,169.81 and 511,785.34

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Solution

The third proportional to 333,169.81 and 511,785.34 is: 786,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,169.81 : 511,785.34 = 511,785.34 : x
  2. Step 2: Convert to fraction form
    333,169.81/511,785.34 = 511,785.34/x
  3. Step 3: Cross multiply
    333,169.81x = 511,785.34 × 511,785.34
  4. Step 4: Simplify right side
    333,169.81x = 261,924,238,077.31
  5. Step 5: Solve for x
    x = 261,924,238,077.31/333,169.81
  6. Step 6: Final answer
    x = 786,158.37

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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.