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Finding the Third Proportional to 315,236 and 684,056

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Solution

The third proportional to 315,236 and 684,056 is: 1,484,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,236 : 684,056 = 684,056 : x
  2. Step 2: Convert to fraction form
    315,236/684,056 = 684,056/x
  3. Step 3: Cross multiply
    315,236x = 684,056 × 684,056
  4. Step 4: Simplify right side
    315,236x = 467,932,611,136
  5. Step 5: Solve for x
    x = 467,932,611,136/315,236
  6. Step 6: Final answer
    x = 1,484,388.24

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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.