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Finding the Third Proportional to 305,975.25 and 430,116.75

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Solution

The third proportional to 305,975.25 and 430,116.75 is: 604,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,975.25 : 430,116.75 = 430,116.75 : x
  2. Step 2: Convert to fraction form
    305,975.25/430,116.75 = 430,116.75/x
  3. Step 3: Cross multiply
    305,975.25x = 430,116.75 × 430,116.75
  4. Step 4: Simplify right side
    305,975.25x = 185,000,418,630.56
  5. Step 5: Solve for x
    x = 185,000,418,630.56/305,975.25
  6. Step 6: Final answer
    x = 604,625.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.