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Finding the Third Proportional to 263,178 and 578,832

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Solution

The third proportional to 263,178 and 578,832 is: 1,273,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,178 : 578,832 = 578,832 : x
  2. Step 2: Convert to fraction form
    263,178/578,832 = 578,832/x
  3. Step 3: Cross multiply
    263,178x = 578,832 × 578,832
  4. Step 4: Simplify right side
    263,178x = 335,046,484,224
  5. Step 5: Solve for x
    x = 335,046,484,224/263,178
  6. Step 6: Final answer
    x = 1,273,079.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.