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Finding the Third Proportional to 414,472.88 and 659,075.44

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Solution

The third proportional to 414,472.88 and 659,075.44 is: 1,048,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,472.88 : 659,075.44 = 659,075.44 : x
  2. Step 2: Convert to fraction form
    414,472.88/659,075.44 = 659,075.44/x
  3. Step 3: Cross multiply
    414,472.88x = 659,075.44 × 659,075.44
  4. Step 4: Simplify right side
    414,472.88x = 434,380,432,315.82
  5. Step 5: Solve for x
    x = 434,380,432,315.82/414,472.88
  6. Step 6: Final answer
    x = 1,048,031.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.