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Finding the Third Proportional to 276,756.19 and 586,419.75

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Solution

The third proportional to 276,756.19 and 586,419.75 is: 1,242,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,756.19 : 586,419.75 = 586,419.75 : x
  2. Step 2: Convert to fraction form
    276,756.19/586,419.75 = 586,419.75/x
  3. Step 3: Cross multiply
    276,756.19x = 586,419.75 × 586,419.75
  4. Step 4: Simplify right side
    276,756.19x = 343,888,123,190.06
  5. Step 5: Solve for x
    x = 343,888,123,190.06/276,756.19
  6. Step 6: Final answer
    x = 1,242,567.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.