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Finding the Third Proportional to 342,543.75 and 736,116.75

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Solution

The third proportional to 342,543.75 and 736,116.75 is: 1,581,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,543.75 : 736,116.75 = 736,116.75 : x
  2. Step 2: Convert to fraction form
    342,543.75/736,116.75 = 736,116.75/x
  3. Step 3: Cross multiply
    342,543.75x = 736,116.75 × 736,116.75
  4. Step 4: Simplify right side
    342,543.75x = 541,867,869,630.56
  5. Step 5: Solve for x
    x = 541,867,869,630.56/342,543.75
  6. Step 6: Final answer
    x = 1,581,893.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.