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Finding the Third Proportional to 175,760 and 414,731

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Solution

The third proportional to 175,760 and 414,731 is: 978,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,760 : 414,731 = 414,731 : x
  2. Step 2: Convert to fraction form
    175,760/414,731 = 414,731/x
  3. Step 3: Cross multiply
    175,760x = 414,731 × 414,731
  4. Step 4: Simplify right side
    175,760x = 172,001,802,361
  5. Step 5: Solve for x
    x = 172,001,802,361/175,760
  6. Step 6: Final answer
    x = 978,617.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.