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Finding the Third Proportional to 344,310.75 and 484,007.06

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Solution

The third proportional to 344,310.75 and 484,007.06 is: 680,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,310.75 : 484,007.06 = 484,007.06 : x
  2. Step 2: Convert to fraction form
    344,310.75/484,007.06 = 484,007.06/x
  3. Step 3: Cross multiply
    344,310.75x = 484,007.06 × 484,007.06
  4. Step 4: Simplify right side
    344,310.75x = 234,262,836,549.88
  5. Step 5: Solve for x
    x = 234,262,836,549.88/344,310.75
  6. Step 6: Final answer
    x = 680,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.