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Finding the Third Proportional to 536,463 and 836,379

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Solution

The third proportional to 536,463 and 836,379 is: 1,303,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,463 : 836,379 = 836,379 : x
  2. Step 2: Convert to fraction form
    536,463/836,379 = 836,379/x
  3. Step 3: Cross multiply
    536,463x = 836,379 × 836,379
  4. Step 4: Simplify right side
    536,463x = 699,529,831,641
  5. Step 5: Solve for x
    x = 699,529,831,641/536,463
  6. Step 6: Final answer
    x = 1,303,966.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.