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Finding the Third Proportional to 724,083.75 and 952,171.50

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Solution

The third proportional to 724,083.75 and 952,171.50 is: 1,252,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,083.75 : 952,171.50 = 952,171.50 : x
  2. Step 2: Convert to fraction form
    724,083.75/952,171.50 = 952,171.50/x
  3. Step 3: Cross multiply
    724,083.75x = 952,171.50 × 952,171.50
  4. Step 4: Simplify right side
    724,083.75x = 906,630,565,412.25
  5. Step 5: Solve for x
    x = 906,630,565,412.25/724,083.75
  6. Step 6: Final answer
    x = 1,252,107.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.