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Finding the Third Proportional to 276,804 and 601,584

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Solution

The third proportional to 276,804 and 601,584 is: 1,307,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,804 : 601,584 = 601,584 : x
  2. Step 2: Convert to fraction form
    276,804/601,584 = 601,584/x
  3. Step 3: Cross multiply
    276,804x = 601,584 × 601,584
  4. Step 4: Simplify right side
    276,804x = 361,903,309,056
  5. Step 5: Solve for x
    x = 361,903,309,056/276,804
  6. Step 6: Final answer
    x = 1,307,435.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.