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Finding the Third Proportional to 354,091.50 and 767,250

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Solution

The third proportional to 354,091.50 and 767,250 is: 1,662,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,091.50 : 767,250 = 767,250 : x
  2. Step 2: Convert to fraction form
    354,091.50/767,250 = 767,250/x
  3. Step 3: Cross multiply
    354,091.50x = 767,250 × 767,250
  4. Step 4: Simplify right side
    354,091.50x = 588,672,562,500
  5. Step 5: Solve for x
    x = 588,672,562,500/354,091.50
  6. Step 6: Final answer
    x = 1,662,487.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.