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Finding the Third Proportional to 585,976.50 and 880,525

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Solution

The third proportional to 585,976.50 and 880,525 is: 1,323,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,976.50 : 880,525 = 880,525 : x
  2. Step 2: Convert to fraction form
    585,976.50/880,525 = 880,525/x
  3. Step 3: Cross multiply
    585,976.50x = 880,525 × 880,525
  4. Step 4: Simplify right side
    585,976.50x = 775,324,275,625
  5. Step 5: Solve for x
    x = 775,324,275,625/585,976.50
  6. Step 6: Final answer
    x = 1,323,132.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.