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Finding the Third Proportional to 550,588.50 and 775,363.50

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Solution

The third proportional to 550,588.50 and 775,363.50 is: 1,091,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,588.50 : 775,363.50 = 775,363.50 : x
  2. Step 2: Convert to fraction form
    550,588.50/775,363.50 = 775,363.50/x
  3. Step 3: Cross multiply
    550,588.50x = 775,363.50 × 775,363.50
  4. Step 4: Simplify right side
    550,588.50x = 601,188,557,132.25
  5. Step 5: Solve for x
    x = 601,188,557,132.25/550,588.50
  6. Step 6: Final answer
    x = 1,091,901.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.