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Finding the Third Proportional to 304,033.50 and 476,907.75

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Solution

The third proportional to 304,033.50 and 476,907.75 is: 748,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,033.50 : 476,907.75 = 476,907.75 : x
  2. Step 2: Convert to fraction form
    304,033.50/476,907.75 = 476,907.75/x
  3. Step 3: Cross multiply
    304,033.50x = 476,907.75 × 476,907.75
  4. Step 4: Simplify right side
    304,033.50x = 227,441,002,010.06
  5. Step 5: Solve for x
    x = 227,441,002,010.06/304,033.50
  6. Step 6: Final answer
    x = 748,078.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.