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Finding the Third Proportional to 341,677.50 and 725,400

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Solution

The third proportional to 341,677.50 and 725,400 is: 1,540,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,677.50 : 725,400 = 725,400 : x
  2. Step 2: Convert to fraction form
    341,677.50/725,400 = 725,400/x
  3. Step 3: Cross multiply
    341,677.50x = 725,400 × 725,400
  4. Step 4: Simplify right side
    341,677.50x = 526,205,160,000
  5. Step 5: Solve for x
    x = 526,205,160,000/341,677.50
  6. Step 6: Final answer
    x = 1,540,063.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.