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Finding the Third Proportional to 246,674 and 539,004

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Solution

The third proportional to 246,674 and 539,004 is: 1,177,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,674 : 539,004 = 539,004 : x
  2. Step 2: Convert to fraction form
    246,674/539,004 = 539,004/x
  3. Step 3: Cross multiply
    246,674x = 539,004 × 539,004
  4. Step 4: Simplify right side
    246,674x = 290,525,312,016
  5. Step 5: Solve for x
    x = 290,525,312,016/246,674
  6. Step 6: Final answer
    x = 1,177,770.30

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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.