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Finding the Third Proportional to 724,009.50 and 952,071.75

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Solution

The third proportional to 724,009.50 and 952,071.75 is: 1,251,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,009.50 : 952,071.75 = 952,071.75 : x
  2. Step 2: Convert to fraction form
    724,009.50/952,071.75 = 952,071.75/x
  3. Step 3: Cross multiply
    724,009.50x = 952,071.75 × 952,071.75
  4. Step 4: Simplify right side
    724,009.50x = 906,440,617,148.06
  5. Step 5: Solve for x
    x = 906,440,617,148.06/724,009.50
  6. Step 6: Final answer
    x = 1,251,973.37

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.