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Finding the Third Proportional to 276,411 and 580,673

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Solution

The third proportional to 276,411 and 580,673 is: 1,219,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,411 : 580,673 = 580,673 : x
  2. Step 2: Convert to fraction form
    276,411/580,673 = 580,673/x
  3. Step 3: Cross multiply
    276,411x = 580,673 × 580,673
  4. Step 4: Simplify right side
    276,411x = 337,181,132,929
  5. Step 5: Solve for x
    x = 337,181,132,929/276,411
  6. Step 6: Final answer
    x = 1,219,854.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.