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Finding the Third Proportional to 302,136 and 444,408

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Solution

The third proportional to 302,136 and 444,408 is: 653,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,136 : 444,408 = 444,408 : x
  2. Step 2: Convert to fraction form
    302,136/444,408 = 444,408/x
  3. Step 3: Cross multiply
    302,136x = 444,408 × 444,408
  4. Step 4: Simplify right side
    302,136x = 197,498,470,464
  5. Step 5: Solve for x
    x = 197,498,470,464/302,136
  6. Step 6: Final answer
    x = 653,674.08

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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.