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Finding the Third Proportional to 350,071.50 and 543,108

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Solution

The third proportional to 350,071.50 and 543,108 is: 842,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,071.50 : 543,108 = 543,108 : x
  2. Step 2: Convert to fraction form
    350,071.50/543,108 = 543,108/x
  3. Step 3: Cross multiply
    350,071.50x = 543,108 × 543,108
  4. Step 4: Simplify right side
    350,071.50x = 294,966,299,664
  5. Step 5: Solve for x
    x = 294,966,299,664/350,071.50
  6. Step 6: Final answer
    x = 842,588.73

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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.