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Finding the Third Proportional to 301,995 and 444,136.50

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Solution

The third proportional to 301,995 and 444,136.50 is: 653,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,995 : 444,136.50 = 444,136.50 : x
  2. Step 2: Convert to fraction form
    301,995/444,136.50 = 444,136.50/x
  3. Step 3: Cross multiply
    301,995x = 444,136.50 × 444,136.50
  4. Step 4: Simplify right side
    301,995x = 197,257,230,632.25
  5. Step 5: Solve for x
    x = 197,257,230,632.25/301,995
  6. Step 6: Final answer
    x = 653,180.45

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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.