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Finding the Third Proportional to 288,378.05 and 621,129.36

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Solution

The third proportional to 288,378.05 and 621,129.36 is: 1,337,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,378.05 : 621,129.36 = 621,129.36 : x
  2. Step 2: Convert to fraction form
    288,378.05/621,129.36 = 621,129.36/x
  3. Step 3: Cross multiply
    288,378.05x = 621,129.36 × 621,129.36
  4. Step 4: Simplify right side
    288,378.05x = 385,801,678,651.29
  5. Step 5: Solve for x
    x = 385,801,678,651.29/288,378.05
  6. Step 6: Final answer
    x = 1,337,833.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.