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Finding the Third Proportional to 350,865 and 542,835

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Solution

The third proportional to 350,865 and 542,835 is: 839,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,865 : 542,835 = 542,835 : x
  2. Step 2: Convert to fraction form
    350,865/542,835 = 542,835/x
  3. Step 3: Cross multiply
    350,865x = 542,835 × 542,835
  4. Step 4: Simplify right side
    350,865x = 294,669,837,225
  5. Step 5: Solve for x
    x = 294,669,837,225/350,865
  6. Step 6: Final answer
    x = 839,838.22

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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.