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Finding the Third Proportional to 289,150.50 and 626,568

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Solution

The third proportional to 289,150.50 and 626,568 is: 1,357,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,150.50 : 626,568 = 626,568 : x
  2. Step 2: Convert to fraction form
    289,150.50/626,568 = 626,568/x
  3. Step 3: Cross multiply
    289,150.50x = 626,568 × 626,568
  4. Step 4: Simplify right side
    289,150.50x = 392,587,458,624
  5. Step 5: Solve for x
    x = 392,587,458,624/289,150.50
  6. Step 6: Final answer
    x = 1,357,727.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.