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Finding the Third Proportional to 374,253.75 and 809,959.50

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Solution

The third proportional to 374,253.75 and 809,959.50 is: 1,752,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,253.75 : 809,959.50 = 809,959.50 : x
  2. Step 2: Convert to fraction form
    374,253.75/809,959.50 = 809,959.50/x
  3. Step 3: Cross multiply
    374,253.75x = 809,959.50 × 809,959.50
  4. Step 4: Simplify right side
    374,253.75x = 656,034,391,640.25
  5. Step 5: Solve for x
    x = 656,034,391,640.25/374,253.75
  6. Step 6: Final answer
    x = 1,752,913.34

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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.