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Finding the Third Proportional to 320,231 and 689,946

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Solution

The third proportional to 320,231 and 689,946 is: 1,486,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,231 : 689,946 = 689,946 : x
  2. Step 2: Convert to fraction form
    320,231/689,946 = 689,946/x
  3. Step 3: Cross multiply
    320,231x = 689,946 × 689,946
  4. Step 4: Simplify right side
    320,231x = 476,025,482,916
  5. Step 5: Solve for x
    x = 476,025,482,916/320,231
  6. Step 6: Final answer
    x = 1,486,506.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.