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Finding the Third Proportional to 714,305.25 and 969,033.38

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Solution

The third proportional to 714,305.25 and 969,033.38 is: 1,314,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,305.25 : 969,033.38 = 969,033.38 : x
  2. Step 2: Convert to fraction form
    714,305.25/969,033.38 = 969,033.38/x
  3. Step 3: Cross multiply
    714,305.25x = 969,033.38 × 969,033.38
  4. Step 4: Simplify right side
    714,305.25x = 939,025,681,863.89
  5. Step 5: Solve for x
    x = 939,025,681,863.89/714,305.25
  6. Step 6: Final answer
    x = 1,314,600.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.