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Finding the Third Proportional to 341,876 and 530,732

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Solution

The third proportional to 341,876 and 530,732 is: 823,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,876 : 530,732 = 530,732 : x
  2. Step 2: Convert to fraction form
    341,876/530,732 = 530,732/x
  3. Step 3: Cross multiply
    341,876x = 530,732 × 530,732
  4. Step 4: Simplify right side
    341,876x = 281,676,455,824
  5. Step 5: Solve for x
    x = 281,676,455,824/341,876
  6. Step 6: Final answer
    x = 823,914.10

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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.