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Finding the Third Proportional to 333,673.75 and 517,099.75

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Solution

The third proportional to 333,673.75 and 517,099.75 is: 801,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,673.75 : 517,099.75 = 517,099.75 : x
  2. Step 2: Convert to fraction form
    333,673.75/517,099.75 = 517,099.75/x
  3. Step 3: Cross multiply
    333,673.75x = 517,099.75 × 517,099.75
  4. Step 4: Simplify right side
    333,673.75x = 267,392,151,450.06
  5. Step 5: Solve for x
    x = 267,392,151,450.06/333,673.75
  6. Step 6: Final answer
    x = 801,358.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.