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Finding the Third Proportional to 237,472 and 483,716

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Solution

The third proportional to 237,472 and 483,716 is: 985,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,472 : 483,716 = 483,716 : x
  2. Step 2: Convert to fraction form
    237,472/483,716 = 483,716/x
  3. Step 3: Cross multiply
    237,472x = 483,716 × 483,716
  4. Step 4: Simplify right side
    237,472x = 233,981,168,656
  5. Step 5: Solve for x
    x = 233,981,168,656/237,472
  6. Step 6: Final answer
    x = 985,300.03

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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.