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Finding the Third Proportional to 383,040 and 608,256

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Solution

The third proportional to 383,040 and 608,256 is: 965,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,040 : 608,256 = 608,256 : x
  2. Step 2: Convert to fraction form
    383,040/608,256 = 608,256/x
  3. Step 3: Cross multiply
    383,040x = 608,256 × 608,256
  4. Step 4: Simplify right side
    383,040x = 369,975,361,536
  5. Step 5: Solve for x
    x = 369,975,361,536/383,040
  6. Step 6: Final answer
    x = 965,892.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.