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Finding the Third Proportional to 333,900 and 517,341

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Solution

The third proportional to 333,900 and 517,341 is: 801,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,900 : 517,341 = 517,341 : x
  2. Step 2: Convert to fraction form
    333,900/517,341 = 517,341/x
  3. Step 3: Cross multiply
    333,900x = 517,341 × 517,341
  4. Step 4: Simplify right side
    333,900x = 267,641,710,281
  5. Step 5: Solve for x
    x = 267,641,710,281/333,900
  6. Step 6: Final answer
    x = 801,562.47

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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.