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Finding the Third Proportional to 319,884 and 684,056

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Solution

The third proportional to 319,884 and 684,056 is: 1,462,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,884 : 684,056 = 684,056 : x
  2. Step 2: Convert to fraction form
    319,884/684,056 = 684,056/x
  3. Step 3: Cross multiply
    319,884x = 684,056 × 684,056
  4. Step 4: Simplify right side
    319,884x = 467,932,611,136
  5. Step 5: Solve for x
    x = 467,932,611,136/319,884
  6. Step 6: Final answer
    x = 1,462,819.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.