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Finding the Third Proportional to 348,097.50 and 741,717

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Solution

The third proportional to 348,097.50 and 741,717 is: 1,580,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,097.50 : 741,717 = 741,717 : x
  2. Step 2: Convert to fraction form
    348,097.50/741,717 = 741,717/x
  3. Step 3: Cross multiply
    348,097.50x = 741,717 × 741,717
  4. Step 4: Simplify right side
    348,097.50x = 550,144,108,089
  5. Step 5: Solve for x
    x = 550,144,108,089/348,097.50
  6. Step 6: Final answer
    x = 1,580,431.08

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.