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Finding the Third Proportional to 291,600 and 638,064

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Solution

The third proportional to 291,600 and 638,064 is: 1,396,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,600 : 638,064 = 638,064 : x
  2. Step 2: Convert to fraction form
    291,600/638,064 = 638,064/x
  3. Step 3: Cross multiply
    291,600x = 638,064 × 638,064
  4. Step 4: Simplify right side
    291,600x = 407,125,668,096
  5. Step 5: Solve for x
    x = 407,125,668,096/291,600
  6. Step 6: Final answer
    x = 1,396,178.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.