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Finding the Third Proportional to 341,984 and 738,400

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Solution

The third proportional to 341,984 and 738,400 is: 1,594,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,984 : 738,400 = 738,400 : x
  2. Step 2: Convert to fraction form
    341,984/738,400 = 738,400/x
  3. Step 3: Cross multiply
    341,984x = 738,400 × 738,400
  4. Step 4: Simplify right side
    341,984x = 545,234,560,000
  5. Step 5: Solve for x
    x = 545,234,560,000/341,984
  6. Step 6: Final answer
    x = 1,594,327.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.