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Finding the Third Proportional to 343,071 and 530,161

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Solution

The third proportional to 343,071 and 530,161 is: 819,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,071 : 530,161 = 530,161 : x
  2. Step 2: Convert to fraction form
    343,071/530,161 = 530,161/x
  3. Step 3: Cross multiply
    343,071x = 530,161 × 530,161
  4. Step 4: Simplify right side
    343,071x = 281,070,685,921
  5. Step 5: Solve for x
    x = 281,070,685,921/343,071
  6. Step 6: Final answer
    x = 819,278.48

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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.