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Finding the Third Proportional to 279,024.75 and 602,245.13

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Solution

The third proportional to 279,024.75 and 602,245.13 is: 1,299,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,024.75 : 602,245.13 = 602,245.13 : x
  2. Step 2: Convert to fraction form
    279,024.75/602,245.13 = 602,245.13/x
  3. Step 3: Cross multiply
    279,024.75x = 602,245.13 × 602,245.13
  4. Step 4: Simplify right side
    279,024.75x = 362,699,190,586.27
  5. Step 5: Solve for x
    x = 362,699,190,586.27/279,024.75
  6. Step 6: Final answer
    x = 1,299,881.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.