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Finding the Third Proportional to 258,585.75 and 548,272.13

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Solution

The third proportional to 258,585.75 and 548,272.13 is: 1,162,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,585.75 : 548,272.13 = 548,272.13 : x
  2. Step 2: Convert to fraction form
    258,585.75/548,272.13 = 548,272.13/x
  3. Step 3: Cross multiply
    258,585.75x = 548,272.13 × 548,272.13
  4. Step 4: Simplify right side
    258,585.75x = 300,602,323,052.02
  5. Step 5: Solve for x
    x = 300,602,323,052.02/258,585.75
  6. Step 6: Final answer
    x = 1,162,486.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.