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Finding the Third Proportional to 288,046.50 and 631,194.75

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Solution

The third proportional to 288,046.50 and 631,194.75 is: 1,383,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,046.50 : 631,194.75 = 631,194.75 : x
  2. Step 2: Convert to fraction form
    288,046.50/631,194.75 = 631,194.75/x
  3. Step 3: Cross multiply
    288,046.50x = 631,194.75 × 631,194.75
  4. Step 4: Simplify right side
    288,046.50x = 398,406,812,427.56
  5. Step 5: Solve for x
    x = 398,406,812,427.56/288,046.50
  6. Step 6: Final answer
    x = 1,383,133.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.