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Finding the Third Proportional to 246,685 and 539,504

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Solution

The third proportional to 246,685 and 539,504 is: 1,179,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,685 : 539,504 = 539,504 : x
  2. Step 2: Convert to fraction form
    246,685/539,504 = 539,504/x
  3. Step 3: Cross multiply
    246,685x = 539,504 × 539,504
  4. Step 4: Simplify right side
    246,685x = 291,064,566,016
  5. Step 5: Solve for x
    x = 291,064,566,016/246,685
  6. Step 6: Final answer
    x = 1,179,903.79

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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.