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Finding the Third Proportional to 333,114.19 and 474,759.56

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Solution

The third proportional to 333,114.19 and 474,759.56 is: 676,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,114.19 : 474,759.56 = 474,759.56 : x
  2. Step 2: Convert to fraction form
    333,114.19/474,759.56 = 474,759.56/x
  3. Step 3: Cross multiply
    333,114.19x = 474,759.56 × 474,759.56
  4. Step 4: Simplify right side
    333,114.19x = 225,396,642,185.19
  5. Step 5: Solve for x
    x = 225,396,642,185.19/333,114.19
  6. Step 6: Final answer
    x = 676,634.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.