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Finding the Third Proportional to 237,420 and 483,632

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Solution

The third proportional to 237,420 and 483,632 is: 985,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,420 : 483,632 = 483,632 : x
  2. Step 2: Convert to fraction form
    237,420/483,632 = 483,632/x
  3. Step 3: Cross multiply
    237,420x = 483,632 × 483,632
  4. Step 4: Simplify right side
    237,420x = 233,899,911,424
  5. Step 5: Solve for x
    x = 233,899,911,424/237,420
  6. Step 6: Final answer
    x = 985,173.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.