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Finding the Third Proportional to 324,237.75 and 517,975.88

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Solution

The third proportional to 324,237.75 and 517,975.88 is: 827,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,237.75 : 517,975.88 = 517,975.88 : x
  2. Step 2: Convert to fraction form
    324,237.75/517,975.88 = 517,975.88/x
  3. Step 3: Cross multiply
    324,237.75x = 517,975.88 × 517,975.88
  4. Step 4: Simplify right side
    324,237.75x = 268,299,007,082.02
  5. Step 5: Solve for x
    x = 268,299,007,082.02/324,237.75
  6. Step 6: Final answer
    x = 827,476.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.