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Finding the Third Proportional to 585,976 and 880,524.50

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Solution

The third proportional to 585,976 and 880,524.50 is: 1,323,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,976 : 880,524.50 = 880,524.50 : x
  2. Step 2: Convert to fraction form
    585,976/880,524.50 = 880,524.50/x
  3. Step 3: Cross multiply
    585,976x = 880,524.50 × 880,524.50
  4. Step 4: Simplify right side
    585,976x = 775,323,395,100.25
  5. Step 5: Solve for x
    x = 775,323,395,100.25/585,976
  6. Step 6: Final answer
    x = 1,323,131.66

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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.