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Finding the Third Proportional to 300,979.50 and 626,869.50

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Solution

The third proportional to 300,979.50 and 626,869.50 is: 1,305,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,979.50 : 626,869.50 = 626,869.50 : x
  2. Step 2: Convert to fraction form
    300,979.50/626,869.50 = 626,869.50/x
  3. Step 3: Cross multiply
    300,979.50x = 626,869.50 × 626,869.50
  4. Step 4: Simplify right side
    300,979.50x = 392,965,370,030.25
  5. Step 5: Solve for x
    x = 392,965,370,030.25/300,979.50
  6. Step 6: Final answer
    x = 1,305,621.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.