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Finding the Third Proportional to 316,432 and 475,992

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Solution

The third proportional to 316,432 and 475,992 is: 716,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,432 : 475,992 = 475,992 : x
  2. Step 2: Convert to fraction form
    316,432/475,992 = 475,992/x
  3. Step 3: Cross multiply
    316,432x = 475,992 × 475,992
  4. Step 4: Simplify right side
    316,432x = 226,568,384,064
  5. Step 5: Solve for x
    x = 226,568,384,064/316,432
  6. Step 6: Final answer
    x = 716,009.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.