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Finding the Third Proportional to 550,408.50 and 842,022

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Solution

The third proportional to 550,408.50 and 842,022 is: 1,288,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,408.50 : 842,022 = 842,022 : x
  2. Step 2: Convert to fraction form
    550,408.50/842,022 = 842,022/x
  3. Step 3: Cross multiply
    550,408.50x = 842,022 × 842,022
  4. Step 4: Simplify right side
    550,408.50x = 709,001,048,484
  5. Step 5: Solve for x
    x = 709,001,048,484/550,408.50
  6. Step 6: Final answer
    x = 1,288,136.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.