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Finding the Third Proportional to 275,650 and 569,012

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Solution

The third proportional to 275,650 and 569,012 is: 1,174,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,650 : 569,012 = 569,012 : x
  2. Step 2: Convert to fraction form
    275,650/569,012 = 569,012/x
  3. Step 3: Cross multiply
    275,650x = 569,012 × 569,012
  4. Step 4: Simplify right side
    275,650x = 323,774,656,144
  5. Step 5: Solve for x
    x = 323,774,656,144/275,650
  6. Step 6: Final answer
    x = 1,174,586.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.