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Finding the Third Proportional to 579,082.50 and 835,398

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Solution

The third proportional to 579,082.50 and 835,398 is: 1,205,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,082.50 : 835,398 = 835,398 : x
  2. Step 2: Convert to fraction form
    579,082.50/835,398 = 835,398/x
  3. Step 3: Cross multiply
    579,082.50x = 835,398 × 835,398
  4. Step 4: Simplify right side
    579,082.50x = 697,889,818,404
  5. Step 5: Solve for x
    x = 697,889,818,404/579,082.50
  6. Step 6: Final answer
    x = 1,205,164.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.