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Finding the Third Proportional to 259,744 and 414,937

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Solution

The third proportional to 259,744 and 414,937 is: 662,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,744 : 414,937 = 414,937 : x
  2. Step 2: Convert to fraction form
    259,744/414,937 = 414,937/x
  3. Step 3: Cross multiply
    259,744x = 414,937 × 414,937
  4. Step 4: Simplify right side
    259,744x = 172,172,713,969
  5. Step 5: Solve for x
    x = 172,172,713,969/259,744
  6. Step 6: Final answer
    x = 662,855.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.