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Finding the Third Proportional to 316,196 and 485,958

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Solution

The third proportional to 316,196 and 485,958 is: 746,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,196 : 485,958 = 485,958 : x
  2. Step 2: Convert to fraction form
    316,196/485,958 = 485,958/x
  3. Step 3: Cross multiply
    316,196x = 485,958 × 485,958
  4. Step 4: Simplify right side
    316,196x = 236,155,177,764
  5. Step 5: Solve for x
    x = 236,155,177,764/316,196
  6. Step 6: Final answer
    x = 746,863.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.