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Finding the Third Proportional to 315,443 and 684,125.75

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Solution

The third proportional to 315,443 and 684,125.75 is: 1,483,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,443 : 684,125.75 = 684,125.75 : x
  2. Step 2: Convert to fraction form
    315,443/684,125.75 = 684,125.75/x
  3. Step 3: Cross multiply
    315,443x = 684,125.75 × 684,125.75
  4. Step 4: Simplify right side
    315,443x = 468,028,041,813.06
  5. Step 5: Solve for x
    x = 468,028,041,813.06/315,443
  6. Step 6: Final answer
    x = 1,483,716.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.