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Finding the Third Proportional to 301,097.25 and 654,682.50

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Solution

The third proportional to 301,097.25 and 654,682.50 is: 1,423,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,097.25 : 654,682.50 = 654,682.50 : x
  2. Step 2: Convert to fraction form
    301,097.25/654,682.50 = 654,682.50/x
  3. Step 3: Cross multiply
    301,097.25x = 654,682.50 × 654,682.50
  4. Step 4: Simplify right side
    301,097.25x = 428,609,175,806.25
  5. Step 5: Solve for x
    x = 428,609,175,806.25/301,097.25
  6. Step 6: Final answer
    x = 1,423,490.83

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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.