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Finding the Third Proportional to 442,888 and 649,568

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Solution

The third proportional to 442,888 and 649,568 is: 952,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,888 : 649,568 = 649,568 : x
  2. Step 2: Convert to fraction form
    442,888/649,568 = 649,568/x
  3. Step 3: Cross multiply
    442,888x = 649,568 × 649,568
  4. Step 4: Simplify right side
    442,888x = 421,938,586,624
  5. Step 5: Solve for x
    x = 421,938,586,624/442,888
  6. Step 6: Final answer
    x = 952,698.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.