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Finding the Third Proportional to 333,195.75 and 719,583.75

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Solution

The third proportional to 333,195.75 and 719,583.75 is: 1,554,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,195.75 : 719,583.75 = 719,583.75 : x
  2. Step 2: Convert to fraction form
    333,195.75/719,583.75 = 719,583.75/x
  3. Step 3: Cross multiply
    333,195.75x = 719,583.75 × 719,583.75
  4. Step 4: Simplify right side
    333,195.75x = 517,800,773,264.06
  5. Step 5: Solve for x
    x = 517,800,773,264.06/333,195.75
  6. Step 6: Final answer
    x = 1,554,043.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.