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Finding the Third Proportional to 333,202.50 and 476,148.38

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Solution

The third proportional to 333,202.50 and 476,148.38 is: 680,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,202.50 : 476,148.38 = 476,148.38 : x
  2. Step 2: Convert to fraction form
    333,202.50/476,148.38 = 476,148.38/x
  3. Step 3: Cross multiply
    333,202.50x = 476,148.38 × 476,148.38
  4. Step 4: Simplify right side
    333,202.50x = 226,717,275,015.14
  5. Step 5: Solve for x
    x = 226,717,275,015.14/333,202.50
  6. Step 6: Final answer
    x = 680,418.89

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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.