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Finding the Third Proportional to 350,071 and 543,106

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Solution

The third proportional to 350,071 and 543,106 is: 842,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,071 : 543,106 = 543,106 : x
  2. Step 2: Convert to fraction form
    350,071/543,106 = 543,106/x
  3. Step 3: Cross multiply
    350,071x = 543,106 × 543,106
  4. Step 4: Simplify right side
    350,071x = 294,964,127,236
  5. Step 5: Solve for x
    x = 294,964,127,236/350,071
  6. Step 6: Final answer
    x = 842,583.73

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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.