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Finding the Third Proportional to 361,035.75 and 782,271.75

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Solution

The third proportional to 361,035.75 and 782,271.75 is: 1,694,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,035.75 : 782,271.75 = 782,271.75 : x
  2. Step 2: Convert to fraction form
    361,035.75/782,271.75 = 782,271.75/x
  3. Step 3: Cross multiply
    361,035.75x = 782,271.75 × 782,271.75
  4. Step 4: Simplify right side
    361,035.75x = 611,949,090,848.06
  5. Step 5: Solve for x
    x = 611,949,090,848.06/361,035.75
  6. Step 6: Final answer
    x = 1,694,981.98

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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.