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Finding the Third Proportional to 598,891.50 and 904,563

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Solution

The third proportional to 598,891.50 and 904,563 is: 1,366,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,891.50 : 904,563 = 904,563 : x
  2. Step 2: Convert to fraction form
    598,891.50/904,563 = 904,563/x
  3. Step 3: Cross multiply
    598,891.50x = 904,563 × 904,563
  4. Step 4: Simplify right side
    598,891.50x = 818,234,220,969
  5. Step 5: Solve for x
    x = 818,234,220,969/598,891.50
  6. Step 6: Final answer
    x = 1,366,247.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.