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Finding the Third Proportional to 258,359.63 and 554,095.69

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Solution

The third proportional to 258,359.63 and 554,095.69 is: 1,188,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,359.63 : 554,095.69 = 554,095.69 : x
  2. Step 2: Convert to fraction form
    258,359.63/554,095.69 = 554,095.69/x
  3. Step 3: Cross multiply
    258,359.63x = 554,095.69 × 554,095.69
  4. Step 4: Simplify right side
    258,359.63x = 307,022,030,906.10
  5. Step 5: Solve for x
    x = 307,022,030,906.10/258,359.63
  6. Step 6: Final answer
    x = 1,188,351.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.