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Finding the Third Proportional to 323,635 and 688,094

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Solution

The third proportional to 323,635 and 688,094 is: 1,462,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,635 : 688,094 = 688,094 : x
  2. Step 2: Convert to fraction form
    323,635/688,094 = 688,094/x
  3. Step 3: Cross multiply
    323,635x = 688,094 × 688,094
  4. Step 4: Simplify right side
    323,635x = 473,473,352,836
  5. Step 5: Solve for x
    x = 473,473,352,836/323,635
  6. Step 6: Final answer
    x = 1,462,985.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.