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Finding the Third Proportional to 225,228 and 485,368

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Solution

The third proportional to 225,228 and 485,368 is: 1,045,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,228 : 485,368 = 485,368 : x
  2. Step 2: Convert to fraction form
    225,228/485,368 = 485,368/x
  3. Step 3: Cross multiply
    225,228x = 485,368 × 485,368
  4. Step 4: Simplify right side
    225,228x = 235,582,095,424
  5. Step 5: Solve for x
    x = 235,582,095,424/225,228
  6. Step 6: Final answer
    x = 1,045,971.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.