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Finding the Third Proportional to 322,150.50 and 685,773

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Solution

The third proportional to 322,150.50 and 685,773 is: 1,459,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,150.50 : 685,773 = 685,773 : x
  2. Step 2: Convert to fraction form
    322,150.50/685,773 = 685,773/x
  3. Step 3: Cross multiply
    322,150.50x = 685,773 × 685,773
  4. Step 4: Simplify right side
    322,150.50x = 470,284,607,529
  5. Step 5: Solve for x
    x = 470,284,607,529/322,150.50
  6. Step 6: Final answer
    x = 1,459,828.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.