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Finding the Third Proportional to 246,675.38 and 539,004.38

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Solution

The third proportional to 246,675.38 and 539,004.38 is: 1,177,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,675.38 : 539,004.38 = 539,004.38 : x
  2. Step 2: Convert to fraction form
    246,675.38/539,004.38 = 539,004.38/x
  3. Step 3: Cross multiply
    246,675.38x = 539,004.38 × 539,004.38
  4. Step 4: Simplify right side
    246,675.38x = 290,525,716,269.14
  5. Step 5: Solve for x
    x = 290,525,716,269.14/246,675.38
  6. Step 6: Final answer
    x = 1,177,765.38

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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.