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Finding the Third Proportional to 264,290 and 580,852

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Solution

The third proportional to 264,290 and 580,852 is: 1,276,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,290 : 580,852 = 580,852 : x
  2. Step 2: Convert to fraction form
    264,290/580,852 = 580,852/x
  3. Step 3: Cross multiply
    264,290x = 580,852 × 580,852
  4. Step 4: Simplify right side
    264,290x = 337,389,045,904
  5. Step 5: Solve for x
    x = 337,389,045,904/264,290
  6. Step 6: Final answer
    x = 1,276,586.50

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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.