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Finding the Third Proportional to 350,952 and 542,925

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Solution

The third proportional to 350,952 and 542,925 is: 839,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,952 : 542,925 = 542,925 : x
  2. Step 2: Convert to fraction form
    350,952/542,925 = 542,925/x
  3. Step 3: Cross multiply
    350,952x = 542,925 × 542,925
  4. Step 4: Simplify right side
    350,952x = 294,767,555,625
  5. Step 5: Solve for x
    x = 294,767,555,625/350,952
  6. Step 6: Final answer
    x = 839,908.47

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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.