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Finding the Third Proportional to 315,318 and 691,954

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Solution

The third proportional to 315,318 and 691,954 is: 1,518,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,318 : 691,954 = 691,954 : x
  2. Step 2: Convert to fraction form
    315,318/691,954 = 691,954/x
  3. Step 3: Cross multiply
    315,318x = 691,954 × 691,954
  4. Step 4: Simplify right side
    315,318x = 478,800,338,116
  5. Step 5: Solve for x
    x = 478,800,338,116/315,318
  6. Step 6: Final answer
    x = 1,518,468.14

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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.