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Finding the Third Proportional to 490,981.50 and 738,294.75

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Solution

The third proportional to 490,981.50 and 738,294.75 is: 1,110,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,981.50 : 738,294.75 = 738,294.75 : x
  2. Step 2: Convert to fraction form
    490,981.50/738,294.75 = 738,294.75/x
  3. Step 3: Cross multiply
    490,981.50x = 738,294.75 × 738,294.75
  4. Step 4: Simplify right side
    490,981.50x = 545,079,137,877.56
  5. Step 5: Solve for x
    x = 545,079,137,877.56/490,981.50
  6. Step 6: Final answer
    x = 1,110,182.64

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Why These Related Problems?

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