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Finding the Third Proportional to 347,862.75 and 496,116.75

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Solution

The third proportional to 347,862.75 and 496,116.75 is: 707,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,862.75 : 496,116.75 = 496,116.75 : x
  2. Step 2: Convert to fraction form
    347,862.75/496,116.75 = 496,116.75/x
  3. Step 3: Cross multiply
    347,862.75x = 496,116.75 × 496,116.75
  4. Step 4: Simplify right side
    347,862.75x = 246,131,829,630.56
  5. Step 5: Solve for x
    x = 246,131,829,630.56/347,862.75
  6. Step 6: Final answer
    x = 707,554.43

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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.