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Finding the Third Proportional to 444,366.75 and 670,475.25

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Solution

The third proportional to 444,366.75 and 670,475.25 is: 1,011,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,366.75 : 670,475.25 = 670,475.25 : x
  2. Step 2: Convert to fraction form
    444,366.75/670,475.25 = 670,475.25/x
  3. Step 3: Cross multiply
    444,366.75x = 670,475.25 × 670,475.25
  4. Step 4: Simplify right side
    444,366.75x = 449,537,060,862.56
  5. Step 5: Solve for x
    x = 449,537,060,862.56/444,366.75
  6. Step 6: Final answer
    x = 1,011,635.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.