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Finding the Third Proportional to 341,676.75 and 522,862.50

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Solution

The third proportional to 341,676.75 and 522,862.50 is: 800,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,676.75 : 522,862.50 = 522,862.50 : x
  2. Step 2: Convert to fraction form
    341,676.75/522,862.50 = 522,862.50/x
  3. Step 3: Cross multiply
    341,676.75x = 522,862.50 × 522,862.50
  4. Step 4: Simplify right side
    341,676.75x = 273,385,193,906.25
  5. Step 5: Solve for x
    x = 273,385,193,906.25/341,676.75
  6. Step 6: Final answer
    x = 800,128.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.