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Finding the Third Proportional to 295,449 and 649,944

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Solution

The third proportional to 295,449 and 649,944 is: 1,429,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,449 : 649,944 = 649,944 : x
  2. Step 2: Convert to fraction form
    295,449/649,944 = 649,944/x
  3. Step 3: Cross multiply
    295,449x = 649,944 × 649,944
  4. Step 4: Simplify right side
    295,449x = 422,427,203,136
  5. Step 5: Solve for x
    x = 422,427,203,136/295,449
  6. Step 6: Final answer
    x = 1,429,780.45

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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.