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Finding the Third Proportional to 354,035.50 and 767,147

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Solution

The third proportional to 354,035.50 and 767,147 is: 1,662,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,035.50 : 767,147 = 767,147 : x
  2. Step 2: Convert to fraction form
    354,035.50/767,147 = 767,147/x
  3. Step 3: Cross multiply
    354,035.50x = 767,147 × 767,147
  4. Step 4: Simplify right side
    354,035.50x = 588,514,519,609
  5. Step 5: Solve for x
    x = 588,514,519,609/354,035.50
  6. Step 6: Final answer
    x = 1,662,303.69

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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.