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Finding the Third Proportional to 222,566 and 480,770

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Solution

The third proportional to 222,566 and 480,770 is: 1,038,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,566 : 480,770 = 480,770 : x
  2. Step 2: Convert to fraction form
    222,566/480,770 = 480,770/x
  3. Step 3: Cross multiply
    222,566x = 480,770 × 480,770
  4. Step 4: Simplify right side
    222,566x = 231,139,792,900
  5. Step 5: Solve for x
    x = 231,139,792,900/222,566
  6. Step 6: Final answer
    x = 1,038,522.47

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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.