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Finding the Third Proportional to 333,051.75 and 451,463.63

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Solution

The third proportional to 333,051.75 and 451,463.63 is: 611,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,051.75 : 451,463.63 = 451,463.63 : x
  2. Step 2: Convert to fraction form
    333,051.75/451,463.63 = 451,463.63/x
  3. Step 3: Cross multiply
    333,051.75x = 451,463.63 × 451,463.63
  4. Step 4: Simplify right side
    333,051.75x = 203,819,404,698.14
  5. Step 5: Solve for x
    x = 203,819,404,698.14/333,051.75
  6. Step 6: Final answer
    x = 611,975.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.