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Finding the Third Proportional to 334,563.75 and 476,907.75

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Solution

The third proportional to 334,563.75 and 476,907.75 is: 679,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,563.75 : 476,907.75 = 476,907.75 : x
  2. Step 2: Convert to fraction form
    334,563.75/476,907.75 = 476,907.75/x
  3. Step 3: Cross multiply
    334,563.75x = 476,907.75 × 476,907.75
  4. Step 4: Simplify right side
    334,563.75x = 227,441,002,010.06
  5. Step 5: Solve for x
    x = 227,441,002,010.06/334,563.75
  6. Step 6: Final answer
    x = 679,813.64

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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.