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Finding the Third Proportional to 222,262 and 480,065

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Solution

The third proportional to 222,262 and 480,065 is: 1,036,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,262 : 480,065 = 480,065 : x
  2. Step 2: Convert to fraction form
    222,262/480,065 = 480,065/x
  3. Step 3: Cross multiply
    222,262x = 480,065 × 480,065
  4. Step 4: Simplify right side
    222,262x = 230,462,404,225
  5. Step 5: Solve for x
    x = 230,462,404,225/222,262
  6. Step 6: Final answer
    x = 1,036,895.21

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Why These Related Problems?

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