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Finding the Third Proportional to 263,190 and 578,852

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Solution

The third proportional to 263,190 and 578,852 is: 1,273,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,190 : 578,852 = 578,852 : x
  2. Step 2: Convert to fraction form
    263,190/578,852 = 578,852/x
  3. Step 3: Cross multiply
    263,190x = 578,852 × 578,852
  4. Step 4: Simplify right side
    263,190x = 335,069,637,904
  5. Step 5: Solve for x
    x = 335,069,637,904/263,190
  6. Step 6: Final answer
    x = 1,273,109.30

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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.