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Finding the Third Proportional to 368,287.88 and 574,816.50

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Solution

The third proportional to 368,287.88 and 574,816.50 is: 897,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,287.88 : 574,816.50 = 574,816.50 : x
  2. Step 2: Convert to fraction form
    368,287.88/574,816.50 = 574,816.50/x
  3. Step 3: Cross multiply
    368,287.88x = 574,816.50 × 574,816.50
  4. Step 4: Simplify right side
    368,287.88x = 330,414,008,672.25
  5. Step 5: Solve for x
    x = 330,414,008,672.25/368,287.88
  6. Step 6: Final answer
    x = 897,162.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.