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Finding the Third Proportional to 615,309.75 and 944,511.75

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Solution

The third proportional to 615,309.75 and 944,511.75 is: 1,449,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,309.75 : 944,511.75 = 944,511.75 : x
  2. Step 2: Convert to fraction form
    615,309.75/944,511.75 = 944,511.75/x
  3. Step 3: Cross multiply
    615,309.75x = 944,511.75 × 944,511.75
  4. Step 4: Simplify right side
    615,309.75x = 892,102,445,888.06
  5. Step 5: Solve for x
    x = 892,102,445,888.06/615,309.75
  6. Step 6: Final answer
    x = 1,449,842.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.