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Finding the Third Proportional to 672,643.50 and 1,463,384.50

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Solution

The third proportional to 672,643.50 and 1,463,384.50 is: 3,183,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,643.50 : 1,463,384.50 = 1,463,384.50 : x
  2. Step 2: Convert to fraction form
    672,643.50/1,463,384.50 = 1,463,384.50/x
  3. Step 3: Cross multiply
    672,643.50x = 1,463,384.50 × 1,463,384.50
  4. Step 4: Simplify right side
    672,643.50x = 2,141,494,194,840.25
  5. Step 5: Solve for x
    x = 2,141,494,194,840.25/672,643.50
  6. Step 6: Final answer
    x = 3,183,698.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.