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Finding the Third Proportional to 492,709 and 741,260

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Solution

The third proportional to 492,709 and 741,260 is: 1,115,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,709 : 741,260 = 741,260 : x
  2. Step 2: Convert to fraction form
    492,709/741,260 = 741,260/x
  3. Step 3: Cross multiply
    492,709x = 741,260 × 741,260
  4. Step 4: Simplify right side
    492,709x = 549,466,387,600
  5. Step 5: Solve for x
    x = 549,466,387,600/492,709
  6. Step 6: Final answer
    x = 1,115,194.54

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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.