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Finding the Third Proportional to 597,273.75 and 1,299,522.75

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Solution

The third proportional to 597,273.75 and 1,299,522.75 is: 2,827,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,273.75 : 1,299,522.75 = 1,299,522.75 : x
  2. Step 2: Convert to fraction form
    597,273.75/1,299,522.75 = 1,299,522.75/x
  3. Step 3: Cross multiply
    597,273.75x = 1,299,522.75 × 1,299,522.75
  4. Step 4: Simplify right side
    597,273.75x = 1,688,759,377,767.56
  5. Step 5: Solve for x
    x = 1,688,759,377,767.56/597,273.75
  6. Step 6: Final answer
    x = 2,827,446.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.