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Finding the Third Proportional to 465,824 and 738,800

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Solution

The third proportional to 465,824 and 738,800 is: 1,171,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,824 : 738,800 = 738,800 : x
  2. Step 2: Convert to fraction form
    465,824/738,800 = 738,800/x
  3. Step 3: Cross multiply
    465,824x = 738,800 × 738,800
  4. Step 4: Simplify right side
    465,824x = 545,825,440,000
  5. Step 5: Solve for x
    x = 545,825,440,000/465,824
  6. Step 6: Final answer
    x = 1,171,741.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.