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Finding the Third Proportional to 295,380 and 649,806

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Solution

The third proportional to 295,380 and 649,806 is: 1,429,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,380 : 649,806 = 649,806 : x
  2. Step 2: Convert to fraction form
    295,380/649,806 = 649,806/x
  3. Step 3: Cross multiply
    295,380x = 649,806 × 649,806
  4. Step 4: Simplify right side
    295,380x = 422,247,837,636
  5. Step 5: Solve for x
    x = 422,247,837,636/295,380
  6. Step 6: Final answer
    x = 1,429,507.20

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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.