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Finding the Third Proportional to 339,904 and 539,852

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Solution

The third proportional to 339,904 and 539,852 is: 857,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,904 : 539,852 = 539,852 : x
  2. Step 2: Convert to fraction form
    339,904/539,852 = 539,852/x
  3. Step 3: Cross multiply
    339,904x = 539,852 × 539,852
  4. Step 4: Simplify right side
    339,904x = 291,440,181,904
  5. Step 5: Solve for x
    x = 291,440,181,904/339,904
  6. Step 6: Final answer
    x = 857,419.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.