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Finding the Third Proportional to 225,406 and 482,804

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Solution

The third proportional to 225,406 and 482,804 is: 1,034,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,406 : 482,804 = 482,804 : x
  2. Step 2: Convert to fraction form
    225,406/482,804 = 482,804/x
  3. Step 3: Cross multiply
    225,406x = 482,804 × 482,804
  4. Step 4: Simplify right side
    225,406x = 233,099,702,416
  5. Step 5: Solve for x
    x = 233,099,702,416/225,406
  6. Step 6: Final answer
    x = 1,034,132.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.