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Finding the Third Proportional to 274,746 and 579,012

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Solution

The third proportional to 274,746 and 579,012 is: 1,220,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,746 : 579,012 = 579,012 : x
  2. Step 2: Convert to fraction form
    274,746/579,012 = 579,012/x
  3. Step 3: Cross multiply
    274,746x = 579,012 × 579,012
  4. Step 4: Simplify right side
    274,746x = 335,254,896,144
  5. Step 5: Solve for x
    x = 335,254,896,144/274,746
  6. Step 6: Final answer
    x = 1,220,235.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.