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Finding the Third Proportional to 246,684 and 539,502

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Solution

The third proportional to 246,684 and 539,502 is: 1,179,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,684 : 539,502 = 539,502 : x
  2. Step 2: Convert to fraction form
    246,684/539,502 = 539,502/x
  3. Step 3: Cross multiply
    246,684x = 539,502 × 539,502
  4. Step 4: Simplify right side
    246,684x = 291,062,408,004
  5. Step 5: Solve for x
    x = 291,062,408,004/246,684
  6. Step 6: Final answer
    x = 1,179,899.82

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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.