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Finding the Third Proportional to 225,036 and 480,201

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Solution

The third proportional to 225,036 and 480,201 is: 1,024,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,036 : 480,201 = 480,201 : x
  2. Step 2: Convert to fraction form
    225,036/480,201 = 480,201/x
  3. Step 3: Cross multiply
    225,036x = 480,201 × 480,201
  4. Step 4: Simplify right side
    225,036x = 230,593,000,401
  5. Step 5: Solve for x
    x = 230,593,000,401/225,036
  6. Step 6: Final answer
    x = 1,024,693.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.