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Finding the Third Proportional to 300,776.63 and 668,796.75

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Solution

The third proportional to 300,776.63 and 668,796.75 is: 1,487,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,776.63 : 668,796.75 = 668,796.75 : x
  2. Step 2: Convert to fraction form
    300,776.63/668,796.75 = 668,796.75/x
  3. Step 3: Cross multiply
    300,776.63x = 668,796.75 × 668,796.75
  4. Step 4: Simplify right side
    300,776.63x = 447,289,092,810.56
  5. Step 5: Solve for x
    x = 447,289,092,810.56/300,776.63
  6. Step 6: Final answer
    x = 1,487,113.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.