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Finding the Third Proportional to 333,664 and 517,086

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Solution

The third proportional to 333,664 and 517,086 is: 801,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,664 : 517,086 = 517,086 : x
  2. Step 2: Convert to fraction form
    333,664/517,086 = 517,086/x
  3. Step 3: Cross multiply
    333,664x = 517,086 × 517,086
  4. Step 4: Simplify right side
    333,664x = 267,377,931,396
  5. Step 5: Solve for x
    x = 267,377,931,396/333,664
  6. Step 6: Final answer
    x = 801,338.87

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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.