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Finding the Third Proportional to 347,834 and 496,235

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Solution

The third proportional to 347,834 and 496,235 is: 707,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,834 : 496,235 = 496,235 : x
  2. Step 2: Convert to fraction form
    347,834/496,235 = 496,235/x
  3. Step 3: Cross multiply
    347,834x = 496,235 × 496,235
  4. Step 4: Simplify right side
    347,834x = 246,249,175,225
  5. Step 5: Solve for x
    x = 246,249,175,225/347,834
  6. Step 6: Final answer
    x = 707,950.27

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Why These Related Problems?

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