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Finding the Third Proportional to 492,030 and 734,247.75

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Solution

The third proportional to 492,030 and 734,247.75 is: 1,095,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,030 : 734,247.75 = 734,247.75 : x
  2. Step 2: Convert to fraction form
    492,030/734,247.75 = 734,247.75/x
  3. Step 3: Cross multiply
    492,030x = 734,247.75 × 734,247.75
  4. Step 4: Simplify right side
    492,030x = 539,119,758,380.06
  5. Step 5: Solve for x
    x = 539,119,758,380.06/492,030
  6. Step 6: Final answer
    x = 1,095,705.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.