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Finding the Third Proportional to 365,428.50 and 804,666

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Solution

The third proportional to 365,428.50 and 804,666 is: 1,771,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,428.50 : 804,666 = 804,666 : x
  2. Step 2: Convert to fraction form
    365,428.50/804,666 = 804,666/x
  3. Step 3: Cross multiply
    365,428.50x = 804,666 × 804,666
  4. Step 4: Simplify right side
    365,428.50x = 647,487,371,556
  5. Step 5: Solve for x
    x = 647,487,371,556/365,428.50
  6. Step 6: Final answer
    x = 1,771,857.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.