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Finding the Third Proportional to 216,778 and 333,622

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Solution

The third proportional to 216,778 and 333,622 is: 513,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,778 : 333,622 = 333,622 : x
  2. Step 2: Convert to fraction form
    216,778/333,622 = 333,622/x
  3. Step 3: Cross multiply
    216,778x = 333,622 × 333,622
  4. Step 4: Simplify right side
    216,778x = 111,303,638,884
  5. Step 5: Solve for x
    x = 111,303,638,884/216,778
  6. Step 6: Final answer
    x = 513,445.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.