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Finding the Third Proportional to 345,936.19 and 759,976.50

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Solution

The third proportional to 345,936.19 and 759,976.50 is: 1,669,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,936.19 : 759,976.50 = 759,976.50 : x
  2. Step 2: Convert to fraction form
    345,936.19/759,976.50 = 759,976.50/x
  3. Step 3: Cross multiply
    345,936.19x = 759,976.50 × 759,976.50
  4. Step 4: Simplify right side
    345,936.19x = 577,564,280,552.25
  5. Step 5: Solve for x
    x = 577,564,280,552.25/345,936.19
  6. Step 6: Final answer
    x = 1,669,568.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.