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Finding the Third Proportional to 263,150 and 578,788

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Solution

The third proportional to 263,150 and 578,788 is: 1,273,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,150 : 578,788 = 578,788 : x
  2. Step 2: Convert to fraction form
    263,150/578,788 = 578,788/x
  3. Step 3: Cross multiply
    263,150x = 578,788 × 578,788
  4. Step 4: Simplify right side
    263,150x = 334,995,548,944
  5. Step 5: Solve for x
    x = 334,995,548,944/263,150
  6. Step 6: Final answer
    x = 1,273,021.28

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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.