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Finding the Third Proportional to 382,118 and 809,752

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Solution

The third proportional to 382,118 and 809,752 is: 1,715,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,118 : 809,752 = 809,752 : x
  2. Step 2: Convert to fraction form
    382,118/809,752 = 809,752/x
  3. Step 3: Cross multiply
    382,118x = 809,752 × 809,752
  4. Step 4: Simplify right side
    382,118x = 655,698,301,504
  5. Step 5: Solve for x
    x = 655,698,301,504/382,118
  6. Step 6: Final answer
    x = 1,715,957.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.