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Finding the Third Proportional to 404,715 and 593,950.50

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Solution

The third proportional to 404,715 and 593,950.50 is: 871,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,715 : 593,950.50 = 593,950.50 : x
  2. Step 2: Convert to fraction form
    404,715/593,950.50 = 593,950.50/x
  3. Step 3: Cross multiply
    404,715x = 593,950.50 × 593,950.50
  4. Step 4: Simplify right side
    404,715x = 352,777,196,450.25
  5. Step 5: Solve for x
    x = 352,777,196,450.25/404,715
  6. Step 6: Final answer
    x = 871,668.20

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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.