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Finding the Third Proportional to 408,996 and 631,734

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Solution

The third proportional to 408,996 and 631,734 is: 975,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,996 : 631,734 = 631,734 : x
  2. Step 2: Convert to fraction form
    408,996/631,734 = 631,734/x
  3. Step 3: Cross multiply
    408,996x = 631,734 × 631,734
  4. Step 4: Simplify right side
    408,996x = 399,087,846,756
  5. Step 5: Solve for x
    x = 399,087,846,756/408,996
  6. Step 6: Final answer
    x = 975,774.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.