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Finding the Third Proportional to 367,046 and 483,716

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Solution

The third proportional to 367,046 and 483,716 is: 637,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,046 : 483,716 = 483,716 : x
  2. Step 2: Convert to fraction form
    367,046/483,716 = 483,716/x
  3. Step 3: Cross multiply
    367,046x = 483,716 × 483,716
  4. Step 4: Simplify right side
    367,046x = 233,981,168,656
  5. Step 5: Solve for x
    x = 233,981,168,656/367,046
  6. Step 6: Final answer
    x = 637,470.97

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.