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Finding the Third Proportional to 393,714 and 610,794

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Solution

The third proportional to 393,714 and 610,794 is: 947,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,714 : 610,794 = 610,794 : x
  2. Step 2: Convert to fraction form
    393,714/610,794 = 610,794/x
  3. Step 3: Cross multiply
    393,714x = 610,794 × 610,794
  4. Step 4: Simplify right side
    393,714x = 373,069,310,436
  5. Step 5: Solve for x
    x = 373,069,310,436/393,714
  6. Step 6: Final answer
    x = 947,564.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.