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Finding the Third Proportional to 235,680 and 509,028

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Solution

The third proportional to 235,680 and 509,028 is: 1,099,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,680 : 509,028 = 509,028 : x
  2. Step 2: Convert to fraction form
    235,680/509,028 = 509,028/x
  3. Step 3: Cross multiply
    235,680x = 509,028 × 509,028
  4. Step 4: Simplify right side
    235,680x = 259,109,504,784
  5. Step 5: Solve for x
    x = 259,109,504,784/235,680
  6. Step 6: Final answer
    x = 1,099,412.36

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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.