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Finding the Third Proportional to 235,128 and 513,996

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Solution

The third proportional to 235,128 and 513,996 is: 1,123,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,128 : 513,996 = 513,996 : x
  2. Step 2: Convert to fraction form
    235,128/513,996 = 513,996/x
  3. Step 3: Cross multiply
    235,128x = 513,996 × 513,996
  4. Step 4: Simplify right side
    235,128x = 264,191,888,016
  5. Step 5: Solve for x
    x = 264,191,888,016/235,128
  6. Step 6: Final answer
    x = 1,123,608.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.