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Finding the Third Proportional to 357,910.50 and 771,864

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Solution

The third proportional to 357,910.50 and 771,864 is: 1,664,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,910.50 : 771,864 = 771,864 : x
  2. Step 2: Convert to fraction form
    357,910.50/771,864 = 771,864/x
  3. Step 3: Cross multiply
    357,910.50x = 771,864 × 771,864
  4. Step 4: Simplify right side
    357,910.50x = 595,774,034,496
  5. Step 5: Solve for x
    x = 595,774,034,496/357,910.50
  6. Step 6: Final answer
    x = 1,664,589.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.