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Finding the Third Proportional to 258,832.97 and 553,650.19

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Solution

The third proportional to 258,832.97 and 553,650.19 is: 1,184,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,832.97 : 553,650.19 = 553,650.19 : x
  2. Step 2: Convert to fraction form
    258,832.97/553,650.19 = 553,650.19/x
  3. Step 3: Cross multiply
    258,832.97x = 553,650.19 × 553,650.19
  4. Step 4: Simplify right side
    258,832.97x = 306,528,530,118.79
  5. Step 5: Solve for x
    x = 306,528,530,118.79/258,832.97
  6. Step 6: Final answer
    x = 1,184,271.58

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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.