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Finding the Third Proportional to 368,089.31 and 778,618.83

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Solution

The third proportional to 368,089.31 and 778,618.83 is: 1,647,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,089.31 : 778,618.83 = 778,618.83 : x
  2. Step 2: Convert to fraction form
    368,089.31/778,618.83 = 778,618.83/x
  3. Step 3: Cross multiply
    368,089.31x = 778,618.83 × 778,618.83
  4. Step 4: Simplify right side
    368,089.31x = 606,247,279,510.75
  5. Step 5: Solve for x
    x = 606,247,279,510.75/368,089.31
  6. Step 6: Final answer
    x = 1,647,011.36

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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.