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Finding the Third Proportional to 333,884 and 517,028

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Solution

The third proportional to 333,884 and 517,028 is: 800,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,884 : 517,028 = 517,028 : x
  2. Step 2: Convert to fraction form
    333,884/517,028 = 517,028/x
  3. Step 3: Cross multiply
    333,884x = 517,028 × 517,028
  4. Step 4: Simplify right side
    333,884x = 267,317,952,784
  5. Step 5: Solve for x
    x = 267,317,952,784/333,884
  6. Step 6: Final answer
    x = 800,631.22

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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.