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Finding the Third Proportional to 342,576 and 737,532

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Solution

The third proportional to 342,576 and 737,532 is: 1,587,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,576 : 737,532 = 737,532 : x
  2. Step 2: Convert to fraction form
    342,576/737,532 = 737,532/x
  3. Step 3: Cross multiply
    342,576x = 737,532 × 737,532
  4. Step 4: Simplify right side
    342,576x = 543,953,451,024
  5. Step 5: Solve for x
    x = 543,953,451,024/342,576
  6. Step 6: Final answer
    x = 1,587,832.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.