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Finding the Third Proportional to 348,644 and 538,734

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Solution

The third proportional to 348,644 and 538,734 is: 832,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,644 : 538,734 = 538,734 : x
  2. Step 2: Convert to fraction form
    348,644/538,734 = 538,734/x
  3. Step 3: Cross multiply
    348,644x = 538,734 × 538,734
  4. Step 4: Simplify right side
    348,644x = 290,234,322,756
  5. Step 5: Solve for x
    x = 290,234,322,756/348,644
  6. Step 6: Final answer
    x = 832,466.13

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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.