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Finding the Third Proportional to 285,704.88 and 614,407.25

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Solution

The third proportional to 285,704.88 and 614,407.25 is: 1,321,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,704.88 : 614,407.25 = 614,407.25 : x
  2. Step 2: Convert to fraction form
    285,704.88/614,407.25 = 614,407.25/x
  3. Step 3: Cross multiply
    285,704.88x = 614,407.25 × 614,407.25
  4. Step 4: Simplify right side
    285,704.88x = 377,496,268,852.56
  5. Step 5: Solve for x
    x = 377,496,268,852.56/285,704.88
  6. Step 6: Final answer
    x = 1,321,280.46

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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.