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Finding the Third Proportional to 345,174.75 and 741,582

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Solution

The third proportional to 345,174.75 and 741,582 is: 1,593,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,174.75 : 741,582 = 741,582 : x
  2. Step 2: Convert to fraction form
    345,174.75/741,582 = 741,582/x
  3. Step 3: Cross multiply
    345,174.75x = 741,582 × 741,582
  4. Step 4: Simplify right side
    345,174.75x = 549,943,862,724
  5. Step 5: Solve for x
    x = 549,943,862,724/345,174.75
  6. Step 6: Final answer
    x = 1,593,233.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.