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Finding the Third Proportional to 336,703.50 and 726,819.75

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Solution

The third proportional to 336,703.50 and 726,819.75 is: 1,568,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,703.50 : 726,819.75 = 726,819.75 : x
  2. Step 2: Convert to fraction form
    336,703.50/726,819.75 = 726,819.75/x
  3. Step 3: Cross multiply
    336,703.50x = 726,819.75 × 726,819.75
  4. Step 4: Simplify right side
    336,703.50x = 528,266,948,990.06
  5. Step 5: Solve for x
    x = 528,266,948,990.06/336,703.50
  6. Step 6: Final answer
    x = 1,568,938.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.