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Finding the Third Proportional to 405,371.25 and 631,020.38

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Solution

The third proportional to 405,371.25 and 631,020.38 is: 982,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,371.25 : 631,020.38 = 631,020.38 : x
  2. Step 2: Convert to fraction form
    405,371.25/631,020.38 = 631,020.38/x
  3. Step 3: Cross multiply
    405,371.25x = 631,020.38 × 631,020.38
  4. Step 4: Simplify right side
    405,371.25x = 398,186,713,665.14
  5. Step 5: Solve for x
    x = 398,186,713,665.14/405,371.25
  6. Step 6: Final answer
    x = 982,276.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.