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Finding the Third Proportional to 360,753.75 and 778,713.75

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Solution

The third proportional to 360,753.75 and 778,713.75 is: 1,680,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,753.75 : 778,713.75 = 778,713.75 : x
  2. Step 2: Convert to fraction form
    360,753.75/778,713.75 = 778,713.75/x
  3. Step 3: Cross multiply
    360,753.75x = 778,713.75 × 778,713.75
  4. Step 4: Simplify right side
    360,753.75x = 606,395,104,439.06
  5. Step 5: Solve for x
    x = 606,395,104,439.06/360,753.75
  6. Step 6: Final answer
    x = 1,680,911.44

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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.