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Finding the Third Proportional to 297,729 and 580,423.50

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Solution

The third proportional to 297,729 and 580,423.50 is: 1,131,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,729 : 580,423.50 = 580,423.50 : x
  2. Step 2: Convert to fraction form
    297,729/580,423.50 = 580,423.50/x
  3. Step 3: Cross multiply
    297,729x = 580,423.50 × 580,423.50
  4. Step 4: Simplify right side
    297,729x = 336,891,439,352.25
  5. Step 5: Solve for x
    x = 336,891,439,352.25/297,729
  6. Step 6: Final answer
    x = 1,131,537.20

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.