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Finding the Third Proportional to 279,809.50 and 599,543

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Solution

The third proportional to 279,809.50 and 599,543 is: 1,284,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,809.50 : 599,543 = 599,543 : x
  2. Step 2: Convert to fraction form
    279,809.50/599,543 = 599,543/x
  3. Step 3: Cross multiply
    279,809.50x = 599,543 × 599,543
  4. Step 4: Simplify right side
    279,809.50x = 359,451,808,849
  5. Step 5: Solve for x
    x = 359,451,808,849/279,809.50
  6. Step 6: Final answer
    x = 1,284,630.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.