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Finding the Third Proportional to 246,684 and 539,022

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Solution

The third proportional to 246,684 and 539,022 is: 1,177,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,684 : 539,022 = 539,022 : x
  2. Step 2: Convert to fraction form
    246,684/539,022 = 539,022/x
  3. Step 3: Cross multiply
    246,684x = 539,022 × 539,022
  4. Step 4: Simplify right side
    246,684x = 290,544,716,484
  5. Step 5: Solve for x
    x = 290,544,716,484/246,684
  6. Step 6: Final answer
    x = 1,177,801.22

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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.