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Finding the Third Proportional to 583,231.50 and 952,364.25

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Solution

The third proportional to 583,231.50 and 952,364.25 is: 1,555,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,231.50 : 952,364.25 = 952,364.25 : x
  2. Step 2: Convert to fraction form
    583,231.50/952,364.25 = 952,364.25/x
  3. Step 3: Cross multiply
    583,231.50x = 952,364.25 × 952,364.25
  4. Step 4: Simplify right side
    583,231.50x = 906,997,664,678.06
  5. Step 5: Solve for x
    x = 906,997,664,678.06/583,231.50
  6. Step 6: Final answer
    x = 1,555,124.62

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.