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Finding the Third Proportional to 467,274 and 732,057

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Solution

The third proportional to 467,274 and 732,057 is: 1,146,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,274 : 732,057 = 732,057 : x
  2. Step 2: Convert to fraction form
    467,274/732,057 = 732,057/x
  3. Step 3: Cross multiply
    467,274x = 732,057 × 732,057
  4. Step 4: Simplify right side
    467,274x = 535,907,451,249
  5. Step 5: Solve for x
    x = 535,907,451,249/467,274
  6. Step 6: Final answer
    x = 1,146,880.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.