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Finding the Third Proportional to 408,462.75 and 631,860.75

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Solution

The third proportional to 408,462.75 and 631,860.75 is: 977,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,462.75 : 631,860.75 = 631,860.75 : x
  2. Step 2: Convert to fraction form
    408,462.75/631,860.75 = 631,860.75/x
  3. Step 3: Cross multiply
    408,462.75x = 631,860.75 × 631,860.75
  4. Step 4: Simplify right side
    408,462.75x = 399,248,007,390.56
  5. Step 5: Solve for x
    x = 399,248,007,390.56/408,462.75
  6. Step 6: Final answer
    x = 977,440.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.