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Finding the Third Proportional to 276,148 and 591,617

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Solution

The third proportional to 276,148 and 591,617 is: 1,267,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,148 : 591,617 = 591,617 : x
  2. Step 2: Convert to fraction form
    276,148/591,617 = 591,617/x
  3. Step 3: Cross multiply
    276,148x = 591,617 × 591,617
  4. Step 4: Simplify right side
    276,148x = 350,010,674,689
  5. Step 5: Solve for x
    x = 350,010,674,689/276,148
  6. Step 6: Final answer
    x = 1,267,474.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.