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Finding the Third Proportional to 276,966 and 596,301.75

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Solution

The third proportional to 276,966 and 596,301.75 is: 1,283,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,966 : 596,301.75 = 596,301.75 : x
  2. Step 2: Convert to fraction form
    276,966/596,301.75 = 596,301.75/x
  3. Step 3: Cross multiply
    276,966x = 596,301.75 × 596,301.75
  4. Step 4: Simplify right side
    276,966x = 355,575,777,053.06
  5. Step 5: Solve for x
    x = 355,575,777,053.06/276,966
  6. Step 6: Final answer
    x = 1,283,824.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.