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Finding the Third Proportional to 550,896 and 850,644

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Solution

The third proportional to 550,896 and 850,644 is: 1,313,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,896 : 850,644 = 850,644 : x
  2. Step 2: Convert to fraction form
    550,896/850,644 = 850,644/x
  3. Step 3: Cross multiply
    550,896x = 850,644 × 850,644
  4. Step 4: Simplify right side
    550,896x = 723,595,214,736
  5. Step 5: Solve for x
    x = 723,595,214,736/550,896
  6. Step 6: Final answer
    x = 1,313,487.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.