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Finding the Third Proportional to 366,964 and 543,642

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Solution

The third proportional to 366,964 and 543,642 is: 805,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,964 : 543,642 = 543,642 : x
  2. Step 2: Convert to fraction form
    366,964/543,642 = 543,642/x
  3. Step 3: Cross multiply
    366,964x = 543,642 × 543,642
  4. Step 4: Simplify right side
    366,964x = 295,546,624,164
  5. Step 5: Solve for x
    x = 295,546,624,164/366,964
  6. Step 6: Final answer
    x = 805,383.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.