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Finding the Third Proportional to 480,738 and 733,818

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Solution

The third proportional to 480,738 and 733,818 is: 1,120,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,738 : 733,818 = 733,818 : x
  2. Step 2: Convert to fraction form
    480,738/733,818 = 733,818/x
  3. Step 3: Cross multiply
    480,738x = 733,818 × 733,818
  4. Step 4: Simplify right side
    480,738x = 538,488,857,124
  5. Step 5: Solve for x
    x = 538,488,857,124/480,738
  6. Step 6: Final answer
    x = 1,120,129.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.