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Finding the Third Proportional to 349,082 and 760,372

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Solution

The third proportional to 349,082 and 760,372 is: 1,656,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,082 : 760,372 = 760,372 : x
  2. Step 2: Convert to fraction form
    349,082/760,372 = 760,372/x
  3. Step 3: Cross multiply
    349,082x = 760,372 × 760,372
  4. Step 4: Simplify right side
    349,082x = 578,165,578,384
  5. Step 5: Solve for x
    x = 578,165,578,384/349,082
  6. Step 6: Final answer
    x = 1,656,245.75

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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.