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Finding the Third Proportional to 242,268 and 510,996

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Solution

The third proportional to 242,268 and 510,996 is: 1,077,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,268 : 510,996 = 510,996 : x
  2. Step 2: Convert to fraction form
    242,268/510,996 = 510,996/x
  3. Step 3: Cross multiply
    242,268x = 510,996 × 510,996
  4. Step 4: Simplify right side
    242,268x = 261,116,912,016
  5. Step 5: Solve for x
    x = 261,116,912,016/242,268
  6. Step 6: Final answer
    x = 1,077,801.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.