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Finding the Third Proportional to 330,989 and 714,451

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Solution

The third proportional to 330,989 and 714,451 is: 1,542,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,989 : 714,451 = 714,451 : x
  2. Step 2: Convert to fraction form
    330,989/714,451 = 714,451/x
  3. Step 3: Cross multiply
    330,989x = 714,451 × 714,451
  4. Step 4: Simplify right side
    330,989x = 510,440,231,401
  5. Step 5: Solve for x
    x = 510,440,231,401/330,989
  6. Step 6: Final answer
    x = 1,542,166.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.