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Finding the Third Proportional to 234,336 and 511,440

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Solution

The third proportional to 234,336 and 511,440 is: 1,116,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,336 : 511,440 = 511,440 : x
  2. Step 2: Convert to fraction form
    234,336/511,440 = 511,440/x
  3. Step 3: Cross multiply
    234,336x = 511,440 × 511,440
  4. Step 4: Simplify right side
    234,336x = 261,570,873,600
  5. Step 5: Solve for x
    x = 261,570,873,600/234,336
  6. Step 6: Final answer
    x = 1,116,221.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.