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Finding the Third Proportional to 234,076 and 518,768

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Solution

The third proportional to 234,076 and 518,768 is: 1,149,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,076 : 518,768 = 518,768 : x
  2. Step 2: Convert to fraction form
    234,076/518,768 = 518,768/x
  3. Step 3: Cross multiply
    234,076x = 518,768 × 518,768
  4. Step 4: Simplify right side
    234,076x = 269,120,237,824
  5. Step 5: Solve for x
    x = 269,120,237,824/234,076
  6. Step 6: Final answer
    x = 1,149,713.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.