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Finding the Third Proportional to 449,759.25 and 966,215.25

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Solution

The third proportional to 449,759.25 and 966,215.25 is: 2,075,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,759.25 : 966,215.25 = 966,215.25 : x
  2. Step 2: Convert to fraction form
    449,759.25/966,215.25 = 966,215.25/x
  3. Step 3: Cross multiply
    449,759.25x = 966,215.25 × 966,215.25
  4. Step 4: Simplify right side
    449,759.25x = 933,571,909,332.56
  5. Step 5: Solve for x
    x = 933,571,909,332.56/449,759.25
  6. Step 6: Final answer
    x = 2,075,714.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.