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Finding the Third Proportional to 350,934 and 500,156

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Solution

The third proportional to 350,934 and 500,156 is: 712,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,934 : 500,156 = 500,156 : x
  2. Step 2: Convert to fraction form
    350,934/500,156 = 500,156/x
  3. Step 3: Cross multiply
    350,934x = 500,156 × 500,156
  4. Step 4: Simplify right side
    350,934x = 250,156,024,336
  5. Step 5: Solve for x
    x = 250,156,024,336/350,934
  6. Step 6: Final answer
    x = 712,829.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.