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Finding the Third Proportional to 297,972.75 and 646,740.75

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Solution

The third proportional to 297,972.75 and 646,740.75 is: 1,403,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,972.75 : 646,740.75 = 646,740.75 : x
  2. Step 2: Convert to fraction form
    297,972.75/646,740.75 = 646,740.75/x
  3. Step 3: Cross multiply
    297,972.75x = 646,740.75 × 646,740.75
  4. Step 4: Simplify right side
    297,972.75x = 418,273,597,710.56
  5. Step 5: Solve for x
    x = 418,273,597,710.56/297,972.75
  6. Step 6: Final answer
    x = 1,403,731.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.