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Finding the Third Proportional to 258,005.25 and 547,357.50

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Solution

The third proportional to 258,005.25 and 547,357.50 is: 1,161,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,005.25 : 547,357.50 = 547,357.50 : x
  2. Step 2: Convert to fraction form
    258,005.25/547,357.50 = 547,357.50/x
  3. Step 3: Cross multiply
    258,005.25x = 547,357.50 × 547,357.50
  4. Step 4: Simplify right side
    258,005.25x = 299,600,232,806.25
  5. Step 5: Solve for x
    x = 299,600,232,806.25/258,005.25
  6. Step 6: Final answer
    x = 1,161,217.58

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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.