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Finding the Third Proportional to 258,725.50 and 556,796

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Solution

The third proportional to 258,725.50 and 556,796 is: 1,198,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,725.50 : 556,796 = 556,796 : x
  2. Step 2: Convert to fraction form
    258,725.50/556,796 = 556,796/x
  3. Step 3: Cross multiply
    258,725.50x = 556,796 × 556,796
  4. Step 4: Simplify right side
    258,725.50x = 310,021,785,616
  5. Step 5: Solve for x
    x = 310,021,785,616/258,725.50
  6. Step 6: Final answer
    x = 1,198,265.29

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Why These Related Problems?

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