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Finding the Third Proportional to 295,596 and 441,450

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Solution

The third proportional to 295,596 and 441,450 is: 659,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,596 : 441,450 = 441,450 : x
  2. Step 2: Convert to fraction form
    295,596/441,450 = 441,450/x
  3. Step 3: Cross multiply
    295,596x = 441,450 × 441,450
  4. Step 4: Simplify right side
    295,596x = 194,878,102,500
  5. Step 5: Solve for x
    x = 194,878,102,500/295,596
  6. Step 6: Final answer
    x = 659,271.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.