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Finding the Third Proportional to 490,716 and 738,532

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Solution

The third proportional to 490,716 and 738,532 is: 1,111,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,716 : 738,532 = 738,532 : x
  2. Step 2: Convert to fraction form
    490,716/738,532 = 738,532/x
  3. Step 3: Cross multiply
    490,716x = 738,532 × 738,532
  4. Step 4: Simplify right side
    490,716x = 545,429,515,024
  5. Step 5: Solve for x
    x = 545,429,515,024/490,716
  6. Step 6: Final answer
    x = 1,111,497.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.