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Finding the Third Proportional to 225,716 and 485,416

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Solution

The third proportional to 225,716 and 485,416 is: 1,043,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,716 : 485,416 = 485,416 : x
  2. Step 2: Convert to fraction form
    225,716/485,416 = 485,416/x
  3. Step 3: Cross multiply
    225,716x = 485,416 × 485,416
  4. Step 4: Simplify right side
    225,716x = 235,628,693,056
  5. Step 5: Solve for x
    x = 235,628,693,056/225,716
  6. Step 6: Final answer
    x = 1,043,916.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.