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Finding the Third Proportional to 288,883.69 and 644,151.94

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Solution

The third proportional to 288,883.69 and 644,151.94 is: 1,436,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,883.69 : 644,151.94 = 644,151.94 : x
  2. Step 2: Convert to fraction form
    288,883.69/644,151.94 = 644,151.94/x
  3. Step 3: Cross multiply
    288,883.69x = 644,151.94 × 644,151.94
  4. Step 4: Simplify right side
    288,883.69x = 414,931,718,585.00
  5. Step 5: Solve for x
    x = 414,931,718,585.00/288,883.69
  6. Step 6: Final answer
    x = 1,436,327.96

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.