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Finding the Third Proportional to 482,931 and 764,529.75

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Solution

The third proportional to 482,931 and 764,529.75 is: 1,210,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,931 : 764,529.75 = 764,529.75 : x
  2. Step 2: Convert to fraction form
    482,931/764,529.75 = 764,529.75/x
  3. Step 3: Cross multiply
    482,931x = 764,529.75 × 764,529.75
  4. Step 4: Simplify right side
    482,931x = 584,505,738,635.06
  5. Step 5: Solve for x
    x = 584,505,738,635.06/482,931
  6. Step 6: Final answer
    x = 1,210,329.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.