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Finding the Third Proportional to 225,262 and 485,300

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Solution

The third proportional to 225,262 and 485,300 is: 1,045,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,262 : 485,300 = 485,300 : x
  2. Step 2: Convert to fraction form
    225,262/485,300 = 485,300/x
  3. Step 3: Cross multiply
    225,262x = 485,300 × 485,300
  4. Step 4: Simplify right side
    225,262x = 235,516,090,000
  5. Step 5: Solve for x
    x = 235,516,090,000/225,262
  6. Step 6: Final answer
    x = 1,045,520.73

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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.