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Finding the Third Proportional to 342,825.75 and 521,883

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Solution

The third proportional to 342,825.75 and 521,883 is: 794,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,825.75 : 521,883 = 521,883 : x
  2. Step 2: Convert to fraction form
    342,825.75/521,883 = 521,883/x
  3. Step 3: Cross multiply
    342,825.75x = 521,883 × 521,883
  4. Step 4: Simplify right side
    342,825.75x = 272,361,865,689
  5. Step 5: Solve for x
    x = 272,361,865,689/342,825.75
  6. Step 6: Final answer
    x = 794,461.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.