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Finding the Third Proportional to 329,651 and 676,777.50

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Solution

The third proportional to 329,651 and 676,777.50 is: 1,389,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,651 : 676,777.50 = 676,777.50 : x
  2. Step 2: Convert to fraction form
    329,651/676,777.50 = 676,777.50/x
  3. Step 3: Cross multiply
    329,651x = 676,777.50 × 676,777.50
  4. Step 4: Simplify right side
    329,651x = 458,027,784,506.25
  5. Step 5: Solve for x
    x = 458,027,784,506.25/329,651
  6. Step 6: Final answer
    x = 1,389,432.41

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.