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Finding the Third Proportional to 299,584 and 640,064

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Solution

The third proportional to 299,584 and 640,064 is: 1,367,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,584 : 640,064 = 640,064 : x
  2. Step 2: Convert to fraction form
    299,584/640,064 = 640,064/x
  3. Step 3: Cross multiply
    299,584x = 640,064 × 640,064
  4. Step 4: Simplify right side
    299,584x = 409,681,924,096
  5. Step 5: Solve for x
    x = 409,681,924,096/299,584
  6. Step 6: Final answer
    x = 1,367,502.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.