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Finding the Third Proportional to 295,395.75 and 601,629.75

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Solution

The third proportional to 295,395.75 and 601,629.75 is: 1,225,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,395.75 : 601,629.75 = 601,629.75 : x
  2. Step 2: Convert to fraction form
    295,395.75/601,629.75 = 601,629.75/x
  3. Step 3: Cross multiply
    295,395.75x = 601,629.75 × 601,629.75
  4. Step 4: Simplify right side
    295,395.75x = 361,958,356,085.06
  5. Step 5: Solve for x
    x = 361,958,356,085.06/295,395.75
  6. Step 6: Final answer
    x = 1,225,333.66

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.