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Finding the Third Proportional to 490,704 and 738,492

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Solution

The third proportional to 490,704 and 738,492 is: 1,111,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,704 : 738,492 = 738,492 : x
  2. Step 2: Convert to fraction form
    490,704/738,492 = 738,492/x
  3. Step 3: Cross multiply
    490,704x = 738,492 × 738,492
  4. Step 4: Simplify right side
    490,704x = 545,370,434,064
  5. Step 5: Solve for x
    x = 545,370,434,064/490,704
  6. Step 6: Final answer
    x = 1,111,404.09

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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.