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Finding the Third Proportional to 315,083.50 and 691,398

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Solution

The third proportional to 315,083.50 and 691,398 is: 1,517,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,083.50 : 691,398 = 691,398 : x
  2. Step 2: Convert to fraction form
    315,083.50/691,398 = 691,398/x
  3. Step 3: Cross multiply
    315,083.50x = 691,398 × 691,398
  4. Step 4: Simplify right side
    315,083.50x = 478,031,194,404
  5. Step 5: Solve for x
    x = 478,031,194,404/315,083.50
  6. Step 6: Final answer
    x = 1,517,157.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.