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Finding the Third Proportional to 550,581.75 and 807,678

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Solution

The third proportional to 550,581.75 and 807,678 is: 1,184,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,581.75 : 807,678 = 807,678 : x
  2. Step 2: Convert to fraction form
    550,581.75/807,678 = 807,678/x
  3. Step 3: Cross multiply
    550,581.75x = 807,678 × 807,678
  4. Step 4: Simplify right side
    550,581.75x = 652,343,751,684
  5. Step 5: Solve for x
    x = 652,343,751,684/550,581.75
  6. Step 6: Final answer
    x = 1,184,826.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.