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Finding the Third Proportional to 492,729 and 741,290

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Solution

The third proportional to 492,729 and 741,290 is: 1,115,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,729 : 741,290 = 741,290 : x
  2. Step 2: Convert to fraction form
    492,729/741,290 = 741,290/x
  3. Step 3: Cross multiply
    492,729x = 741,290 × 741,290
  4. Step 4: Simplify right side
    492,729x = 549,510,864,100
  5. Step 5: Solve for x
    x = 549,510,864,100/492,729
  6. Step 6: Final answer
    x = 1,115,239.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.