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Finding the Third Proportional to 342,904.50 and 753,682.50

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Solution

The third proportional to 342,904.50 and 753,682.50 is: 1,656,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,904.50 : 753,682.50 = 753,682.50 : x
  2. Step 2: Convert to fraction form
    342,904.50/753,682.50 = 753,682.50/x
  3. Step 3: Cross multiply
    342,904.50x = 753,682.50 × 753,682.50
  4. Step 4: Simplify right side
    342,904.50x = 568,037,310,806.25
  5. Step 5: Solve for x
    x = 568,037,310,806.25/342,904.50
  6. Step 6: Final answer
    x = 1,656,546.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.