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Finding the Third Proportional to 550,404.75 and 775,091

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Solution

The third proportional to 550,404.75 and 775,091 is: 1,091,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,404.75 : 775,091 = 775,091 : x
  2. Step 2: Convert to fraction form
    550,404.75/775,091 = 775,091/x
  3. Step 3: Cross multiply
    550,404.75x = 775,091 × 775,091
  4. Step 4: Simplify right side
    550,404.75x = 600,766,058,281
  5. Step 5: Solve for x
    x = 600,766,058,281/550,404.75
  6. Step 6: Final answer
    x = 1,091,498.68

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