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Finding the Third Proportional to 449,142.75 and 692,304.75

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Solution

The third proportional to 449,142.75 and 692,304.75 is: 1,067,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,142.75 : 692,304.75 = 692,304.75 : x
  2. Step 2: Convert to fraction form
    449,142.75/692,304.75 = 692,304.75/x
  3. Step 3: Cross multiply
    449,142.75x = 692,304.75 × 692,304.75
  4. Step 4: Simplify right side
    449,142.75x = 479,285,866,872.56
  5. Step 5: Solve for x
    x = 479,285,866,872.56/449,142.75
  6. Step 6: Final answer
    x = 1,067,112.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.